Quizbank/Bell/152874216173

Bell152874216173

Bell:Bell1:V0
Bell152874216173 1) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 3 points
 * b) lose 1 point
 * c) win 1 point
 * d) win 3 points
 * e) be disqualified for cheating

2) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K&spades; and K&clubs;
 * b) none of these are true
 * c) two of these are true
 * d) K and K&clubs;
 * e) K and K&spades;

3) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 5
 * b) 1
 * c) 2
 * d) 3
 * e) 4

4) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) be disqualified for cheating
 * c) win 3 points
 * d) lose 1 point
 * e) lose 3 points

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 9.9
 * b) 4.4
 * c) 3.3
 * d) 1.1
 * e) 2.2

6) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 10
 * b) 16
 * c) 160
 * d) 40
 * e) 32

7) How would you describe the "skew" of a binary distribution?
 * a) Distributions are never skewed. Only experimental measurements of them are skewed.
 * b) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * c) The binary distribution is never skewed if it is a true binary distribution.
 * d) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * e) None of these are true.

8) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

9) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 2$$
 * d) $$ \tfrac 1 4$$
 * e) $$\tfrac \sqrt 3 2$$

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 9mW
 * b) 6mW
 * c) 4mW
 * d) 8mW
 * e) 3mW

KEY:Bell:Bell1:V0
Bell152874216173 1) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) lose 3 points
 * -b) lose 1 point
 * +c) win 1 point
 * -d) win 3 points
 * -e) be disqualified for cheating

2) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K&spades; and K&clubs;
 * -b) none of these are true
 * +c) two of these are true
 * -d) K and K&clubs;
 * -e) K and K&spades;

3) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 5
 * +b) 1
 * -c) 2
 * -d) 3
 * -e) 4

4) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) win 1 point
 * -b) be disqualified for cheating
 * -c) win 3 points
 * -d) lose 1 point
 * +e) lose 3 points

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 9.9
 * +b) 4.4
 * -c) 3.3
 * -d) 1.1
 * -e) 2.2

6) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 10
 * +b) 16
 * -c) 160
 * -d) 40
 * -e) 32

7) How would you describe the "skew" of a binary distribution?
 * -a) Distributions are never skewed. Only experimental measurements of them are skewed.
 * +b) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * -c) The binary distribution is never skewed if it is a true binary distribution.
 * -d) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * -e) None of these are true.

8) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

9) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 2$$
 * -d) $$ \tfrac 1 4$$
 * +e) $$\tfrac \sqrt 3 2$$

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 9mW
 * -b) 6mW
 * -c) 4mW
 * -d) 8mW
 * +e) 3mW

Bell:Bell1:V1
Bell152874216173 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 1
 * b) 5
 * c) 3
 * d) 2
 * e) 4

2) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 3 4$$
 * b) $$\tfrac 1 2$$
 * c) $$ \tfrac 1 4$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 \sqrt 2$$

3) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) be disqualified for cheating
 * c) lose 1 point
 * d) win 3 points
 * e) lose 3 points

4) How would you describe the "skew" of a binary distribution?
 * a) None of these are true.
 * b) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * c) The binary distribution is never skewed if it is a true binary distribution.
 * d) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * e) Distributions are never skewed. Only experimental measurements of them are skewed.

5) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) none of these are true
 * b) K and K&spades;
 * c) two of these are true
 * d) K and K&clubs;
 * e) K&spades; and K&clubs;

6) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 9mW
 * b) 6mW
 * c) 8mW
 * d) 4mW
 * e) 3mW

7) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

8) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 3 points
 * b) be disqualified for cheating
 * c) win 1 point
 * d) lose 1 point
 * e) lose 3 points

9) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 10
 * b) 160
 * c) 40
 * d) 32
 * e) 16

10) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 2.2
 * b) 3.3
 * c) 9.9
 * d) 4.4
 * e) 1.1

KEY:Bell:Bell1:V1
Bell152874216173 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * +a) 1
 * -b) 5
 * -c) 3
 * -d) 2
 * -e) 4

2) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 3 4$$
 * -b) $$\tfrac 1 2$$
 * -c) $$ \tfrac 1 4$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

3) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) be disqualified for cheating
 * -c) lose 1 point
 * -d) win 3 points
 * -e) lose 3 points

4) How would you describe the "skew" of a binary distribution?
 * -a) None of these are true.
 * -b) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * -c) The binary distribution is never skewed if it is a true binary distribution.
 * +d) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * -e) Distributions are never skewed. Only experimental measurements of them are skewed.

5) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) none of these are true
 * -b) K and K&spades;
 * +c) two of these are true
 * -d) K and K&clubs;
 * -e) K&spades; and K&clubs;

6) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 9mW
 * -b) 6mW
 * -c) 8mW
 * -d) 4mW
 * +e) 3mW

7) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

8) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) win 3 points
 * -b) be disqualified for cheating
 * -c) win 1 point
 * -d) lose 1 point
 * +e) lose 3 points

9) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 10
 * -b) 160
 * -c) 40
 * -d) 32
 * +e) 16

10) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 2.2
 * -b) 3.3
 * -c) 9.9
 * +d) 4.4
 * -e) 1.1

Bell:Bell1:V2
Bell152874216173 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 2.2
 * b) 9.9
 * c) 3.3
 * d) 4.4
 * e) 1.1

2) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K&spades; and K&clubs;
 * b) two of these are true
 * c) none of these are true
 * d) K and K&spades;
 * e) K and K&clubs;

3) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 3 points
 * b) win 1 point
 * c) be disqualified for cheating
 * d) win 3 points
 * e) lose 1 point

4) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 8mW
 * b) 4mW
 * c) 6mW
 * d) 9mW
 * e) 3mW

5) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 3
 * b) 2
 * c) 1
 * d) 4
 * e) 5

6) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$ \tfrac 1 4$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac \sqrt 3 2$$

7) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 40
 * b) 10
 * c) 160
 * d) 32
 * e) 16

8) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

9) How would you describe the "skew" of a binary distribution?
 * a) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * b) Distributions are never skewed. Only experimental measurements of them are skewed.
 * c) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * d) The binary distribution is never skewed if it is a true binary distribution.
 * e) None of these are true.

10) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 3 points
 * b) win 1 point
 * c) lose 1 point
 * d) be disqualified for cheating
 * e) lose 3 points

KEY:Bell:Bell1:V2
Bell152874216173 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 2.2
 * -b) 9.9
 * -c) 3.3
 * +d) 4.4
 * -e) 1.1

2) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K&spades; and K&clubs;
 * +b) two of these are true
 * -c) none of these are true
 * -d) K and K&spades;
 * -e) K and K&clubs;

3) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) lose 3 points
 * -b) win 1 point
 * -c) be disqualified for cheating
 * -d) win 3 points
 * -e) lose 1 point

4) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 8mW
 * -b) 4mW
 * -c) 6mW
 * -d) 9mW
 * +e) 3mW

5) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 3
 * -b) 2
 * +c) 1
 * -d) 4
 * -e) 5

6) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$ \tfrac 1 4$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac 1 2$$
 * +e) $$\tfrac \sqrt 3 2$$

7) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 40
 * -b) 10
 * -c) 160
 * -d) 32
 * +e) 16

8) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

9) How would you describe the "skew" of a binary distribution?
 * -a) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * -b) Distributions are never skewed. Only experimental measurements of them are skewed.
 * +c) The binary distribution is always skewed, but has little skew for a large number of trials n.
 * -d) The binary distribution is never skewed if it is a true binary distribution.
 * -e) None of these are true.

10) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) win 3 points
 * +b) win 1 point
 * -c) lose 1 point
 * -d) be disqualified for cheating
 * -e) lose 3 points

Bell:Bell2:V0
Bell152874216173 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 3 4$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 1 2$$
 * e) $$ \tfrac 1 4$$

2) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * a) $$3$$
 * b) $$\infty$$
 * c) $$4/3$$
 * d) $$0$$
 * e) $$4$$

3) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * b) None of these describes the &beta;-strategy
 * c) Alice and Bob to always answer "odd"
 * d) Alice and Bob to always answer "even"
 * e) Alice and Bob to always give different answers (one "even" while the other "odd")

4) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) None of these is correct
 * b) Best for partners: $$0$$ ... Worst: $$-3$$
 * c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

5) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) Evidence presented in 1800 that light is a wave.
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

6) This figure is associated with
 * a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * b) Evidence presented in 1800 that light is a wave.
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1/2
 * c) 3/4
 * d) 1
 * e) 1/4

8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 0
 * b) 3/4
 * c) 5/4
 * d) 1/4
 * e) 1
 * f) 1/2

9) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/4
 * b) 5/6
 * c) 2/4=1/2
 * d) 3/5
 * e) 2/5

10) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/5
 * b) 5/6
 * c) 2/5
 * d) 3/4
 * e) 2/4=1/2

KEY:Bell:Bell2:V0
Bell152874216173 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 3 4$$
 * +b) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac 1 2$$
 * -e) $$ \tfrac 1 4$$

2) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * -a) $$3$$
 * -b) $$\infty$$
 * -c) $$4/3$$
 * +d) $$0$$
 * -e) $$4$$

3) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * -a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * -b) None of these describes the &beta;-strategy
 * -c) Alice and Bob to always answer "odd"
 * -d) Alice and Bob to always answer "even"
 * +e) Alice and Bob to always give different answers (one "even" while the other "odd")

4) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) None of these is correct
 * -b) Best for partners: $$0$$ ... Worst: $$-3$$
 * -c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * +e) Best for partners: $$0$$ ... Worst: $$-Q$$

5) This figure is associated with
 * +a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) Evidence presented in 1800 that light is a wave.
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

6) This figure is associated with
 * -a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -b) Evidence presented in 1800 that light is a wave.
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * +d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 1/2
 * -c) 3/4
 * +d) 1
 * -e) 1/4

8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 0
 * -b) 3/4
 * -c) 5/4
 * +d) 1/4
 * -e) 1
 * -f) 1/2

9) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/4
 * -b) 5/6
 * -c) 2/4=1/2
 * -d) 3/5
 * +e) 2/5

10) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * +a) 3/5
 * -b) 5/6
 * -c) 2/5
 * -d) 3/4
 * -e) 2/4=1/2

Bell:Bell2:V1
Bell152874216173 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 5/6
 * b) 2/4=1/2
 * c) 3/4
 * d) 2/5
 * e) 3/5

2) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 1/4
 * b) 5/4
 * c) 1
 * d) 1/2
 * e) 3/4
 * f) 0

3) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1
 * c) 3/4
 * d) 1/2
 * e) 1/4

4) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) Evidence presented in 1800 that light is a wave.
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

5) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) Evidence presented in 1800 that light is a wave.
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

6) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * a) Alice and Bob to always answer "odd"
 * b) Alice and Bob to always answer "even"
 * c) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * d) None of these describes the &beta;-strategy
 * e) Alice and Bob to always give different answers (one "even" while the other "odd")

7) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * a) $$4/3$$
 * b) $$3$$
 * c) $$4$$
 * d) $$\infty$$
 * e) $$0$$

8) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 3 4$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 2$$
 * d) $$ \tfrac 1 4$$
 * e) $$\tfrac 1 \sqrt 2$$

9) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/5
 * b) 5/6
 * c) 3/4
 * d) 2/4=1/2
 * e) 3/5

10) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) None of these is correct
 * b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * c) Best for partners: $$0$$ ... Worst: $$-3$$
 * d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

KEY:Bell:Bell2:V1
Bell152874216173 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 5/6
 * -b) 2/4=1/2
 * -c) 3/4
 * +d) 2/5
 * -e) 3/5

2) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * +a) 1/4
 * -b) 5/4
 * -c) 1
 * -d) 1/2
 * -e) 3/4
 * -f) 0

3) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 0
 * +b) 1
 * -c) 3/4
 * -d) 1/2
 * -e) 1/4

4) This figure is associated with
 * -a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -c) Evidence presented in 1800 that light is a wave.
 * -d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * +e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

5) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -b) Evidence presented in 1800 that light is a wave.
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * +e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

6) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * -a) Alice and Bob to always answer "odd"
 * -b) Alice and Bob to always answer "even"
 * -c) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * -d) None of these describes the &beta;-strategy
 * +e) Alice and Bob to always give different answers (one "even" while the other "odd")

7) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * -a) $$4/3$$
 * -b) $$3$$
 * -c) $$4$$
 * -d) $$\infty$$
 * +e) $$0$$

8) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 3 4$$
 * +b) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$ \tfrac 1 4$$
 * -e) $$\tfrac 1 \sqrt 2$$

9) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/5
 * -b) 5/6
 * -c) 3/4
 * -d) 2/4=1/2
 * +e) 3/5

10) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) None of these is correct
 * -b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -c) Best for partners: $$0$$ ... Worst: $$-3$$
 * -d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * +e) Best for partners: $$0$$ ... Worst: $$-Q$$

Bell:Bell2:V2
Bell152874216173 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/4=1/2
 * b) 2/5
 * c) 3/4
 * d) 3/5
 * e) 5/6

2) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/4=1/2
 * b) 5/6
 * c) 2/5
 * d) 3/5
 * e) 3/4

3) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 1/4
 * b) 3/4
 * c) 1/2
 * d) 5/4
 * e) 1
 * f) 0

4) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$\tfrac 3 4$$
 * c) $$ \tfrac 1 4$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac \sqrt 3 2$$

5) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * b) Best for partners: $$0$$ ... Worst: $$-3$$
 * c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * d) None of these is correct
 * e) Best for partners: $$+1$$ ... Worst: $$-Q$$

6) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

7) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

8) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * a) Alice and Bob to always answer "odd"
 * b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * c) Alice and Bob to always give different answers (one "even" while the other "odd")
 * d) None of these describes the &beta;-strategy
 * e) Alice and Bob to always answer "even"

9) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * a) $$4/3$$
 * b) $$\infty$$
 * c) $$4$$
 * d) $$3$$
 * e) $$0$$

10) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1
 * b) 1/4
 * c) 1/2
 * d) 0
 * e) 3/4

KEY:Bell:Bell2:V2
Bell152874216173 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/4=1/2
 * +b) 2/5
 * -c) 3/4
 * -d) 3/5
 * -e) 5/6

2) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/4=1/2
 * -b) 5/6
 * -c) 2/5
 * +d) 3/5
 * -e) 3/4

3) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * +a) 1/4
 * -b) 3/4
 * -c) 1/2
 * -d) 5/4
 * -e) 1
 * -f) 0

4) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$ \tfrac 1 4$$
 * -d) $$\tfrac 1 2$$
 * +e) $$\tfrac \sqrt 3 2$$

5) Suppose the referee gives Alice and Bob receive question cards of the same suit (same questions). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -b) Best for partners: $$0$$ ... Worst: $$-3$$
 * +c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -d) None of these is correct
 * -e) Best for partners: $$+1$$ ... Worst: $$-Q$$

6) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * +d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

7) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * +e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

8) The &beta;-strategy is a new strategy introduced in the couples version of the card game that calls for
 * -a) Alice and Bob to always answer "odd"
 * -b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
 * +c) Alice and Bob to always give different answers (one "even" while the other "odd")
 * -d) None of these describes the &beta;-strategy
 * -e) Alice and Bob to always answer "even"

9) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What number does the penalty approach as the probability of asking the same question goes to 1?
 * -a) $$4/3$$
 * -b) $$\infty$$
 * -c) $$4$$
 * -d) $$3$$
 * +e) $$0$$

10) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * +a) 1
 * -b) 1/4
 * -c) 1/2
 * -d) 0
 * -e) 3/4

Bell:Bell3:V0
Bell152874216173 1) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) be disqualified for cheating
 * c) lose 3 points
 * d) lose 1 point
 * e) win 3 points

2) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 5
 * b) 4
 * c) 2
 * d) 6
 * e) 3

3) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 9.9
 * b) 1.1
 * c) 2.2
 * d) 4.4
 * e) 3.3

4) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 32
 * b) 10
 * c) 40
 * d) 16
 * e) 160

5) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * a) 2/6
 * b) 3/6
 * c) 5/6
 * d) 1/6
 * e) 4/6

6) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

7) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/32
 * b) 1/16
 * c) 3/32
 * d) 3/16
 * e) 1/8

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 3mW
 * b) 9mW
 * c) 4mW
 * d) 6mW
 * e) 8mW

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or linear
 * c) linearly
 * d) circular
 * e) circular or elliptical

10) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$ \tfrac 1 4$$

11) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * a) True
 * b) False

12) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * a) no points awarded or lost
 * b) win 1 point
 * c) lose Q points
 * d) lose 3 points

13) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * b) Best for partners: $$0$$ ... Worst: $$-Q$$
 * c) None of these is correct
 * d) Best for partners: $$0$$ ... Worst: $$-3$$
 * e) Best for partners: $$+1$$ ... Worst: $$-Q$$

14) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) is reduced by a factor of 4
 * b) is cut in half
 * c) becomes twice as big
 * d) stays the same
 * e) becomes 4 times as big

15) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is reduced by a factor of 4
 * b) is cut in half
 * c) stays the same
 * d) becomes twice as big
 * e) becomes 4 times as big

16) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 0
 * b) 1/4
 * c) 1
 * d) 3/4
 * e) 1/2

17) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) They have the same energy density (since the holes are identical).
 * b) The hotter object has a greater energy density.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) The larger object has a greater energy density.

18) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 5/6
 * b) 3/4
 * c) 2/4=1/2
 * d) 3/5
 * e) 2/5

19) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 5/4
 * b) 6/5
 * c) 7/5
 * d) 5/6
 * e) 4/5

20) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 1/2
 * b) 1/4
 * c) 3/4
 * d) 0
 * e) 1
 * f) 5/4

KEY:Bell:Bell3:V0
Bell152874216173 1) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) be disqualified for cheating
 * -c) lose 3 points
 * -d) lose 1 point
 * -e) win 3 points

2) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 5
 * -b) 4
 * +c) 2
 * -d) 6
 * -e) 3

3) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 9.9
 * -b) 1.1
 * -c) 2.2
 * +d) 4.4
 * -e) 3.3

4) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 32
 * -b) 10
 * -c) 40
 * +d) 16
 * -e) 160

5) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * -a) 2/6
 * +b) 3/6
 * -c) 5/6
 * -d) 1/6
 * -e) 4/6

6) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

7) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/32
 * -b) 1/16
 * +c) 3/32
 * -d) 3/16
 * -e) 1/8

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 3mW
 * +b) 9mW
 * -c) 4mW
 * -d) 6mW
 * -e) 8mW

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or linear
 * +c) linearly
 * -d) circular
 * -e) circular or elliptical

10) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * +a) $$\tfrac 1 2$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac \sqrt 3 2$$
 * -e) $$ \tfrac 1 4$$

11) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * +a) True
 * -b) False

12) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * -a) no points awarded or lost
 * -b) win 1 point
 * -c) lose Q points
 * +d) lose 3 points

13) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -b) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -c) None of these is correct
 * -d) Best for partners: $$0$$ ... Worst: $$-3$$
 * +e) Best for partners: $$+1$$ ... Worst: $$-Q$$

14) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) is reduced by a factor of 4
 * -b) is cut in half
 * -c) becomes twice as big
 * -d) stays the same
 * +e) becomes 4 times as big

15) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * +a) is reduced by a factor of 4
 * -b) is cut in half
 * -c) stays the same
 * -d) becomes twice as big
 * -e) becomes 4 times as big

16) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 0
 * -b) 1/4
 * -c) 1
 * -d) 3/4
 * +e) 1/2

17) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) They have the same energy density (since the holes are identical).
 * +b) The hotter object has a greater energy density.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) The larger object has a greater energy density.

18) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 5/6
 * -b) 3/4
 * -c) 2/4=1/2
 * -d) 3/5
 * +e) 2/5

19) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 5/4
 * -b) 6/5
 * +c) 7/5
 * -d) 5/6
 * -e) 4/5

20) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 1/2
 * -b) 1/4
 * -c) 3/4
 * -d) 0
 * -e) 1
 * +f) 5/4

Bell:Bell3:V1
Bell152874216173 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$ \tfrac 1 4$$
 * e) $$\tfrac \sqrt 3 2$$

2) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) becomes twice as big
 * b) becomes 4 times as big
 * c) stays the same
 * d) is reduced by a factor of 4
 * e) is cut in half

3) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) becomes twice as big
 * b) stays the same
 * c) is cut in half
 * d) is reduced by a factor of 4
 * e) becomes 4 times as big

4) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/5
 * b) 5/6
 * c) 2/5
 * d) 2/4=1/2
 * e) 3/4

5) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 5/4
 * b) 5/6
 * c) 7/5
 * d) 4/5
 * e) 6/5

6) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 1/4
 * c) 1/2
 * d) 1
 * e) 0

7) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or elliptical
 * c) linearly
 * d) circular or linear
 * e) circular

8) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) be disqualified for cheating
 * b) win 1 point
 * c) win 3 points
 * d) lose 3 points
 * e) lose 1 point

9) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * a) 3/6
 * b) 1/6
 * c) 2/6
 * d) 5/6
 * e) 4/6

10) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

11) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 32
 * b) 160
 * c) 16
 * d) 10
 * e) 40

12) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$0$$ ... Worst: $$-Q$$
 * b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * d) None of these is correct
 * e) Best for partners: $$0$$ ... Worst: $$-3$$

13) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) The hotter object has a greater energy density.
 * b) No unique answer exists because two variables are involved (temperature and volume).
 * c) They have the same energy density (since the holes are identical).
 * d) The larger object has a greater energy density.

14) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * a) True
 * b) False

15) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * a) no points awarded or lost
 * b) win 1 point
 * c) lose Q points
 * d) lose 3 points

16) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 5
 * b) 4
 * c) 2
 * d) 3
 * e) 6

17) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/16
 * b) 1/16
 * c) 1/8
 * d) 1/32
 * e) 3/32

18) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 5/4
 * b) 1/4
 * c) 3/4
 * d) 1
 * e) 1/2
 * f) 0

19) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 3.3
 * b) 9.9
 * c) 2.2
 * d) 4.4
 * e) 1.1

20) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 6mW
 * b) 3mW
 * c) 4mW
 * d) 8mW
 * e) 9mW

KEY:Bell:Bell3:V1
Bell152874216173 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * +a) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$ \tfrac 1 4$$
 * -e) $$\tfrac \sqrt 3 2$$

2) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) becomes twice as big
 * +b) becomes 4 times as big
 * -c) stays the same
 * -d) is reduced by a factor of 4
 * -e) is cut in half

3) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * -a) becomes twice as big
 * -b) stays the same
 * -c) is cut in half
 * +d) is reduced by a factor of 4
 * -e) becomes 4 times as big

4) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/5
 * -b) 5/6
 * +c) 2/5
 * -d) 2/4=1/2
 * -e) 3/4

5) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 5/4
 * -b) 5/6
 * +c) 7/5
 * -d) 4/5
 * -e) 6/5

6) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 3/4
 * -b) 1/4
 * +c) 1/2
 * -d) 1
 * -e) 0

7) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or elliptical
 * +c) linearly
 * -d) circular or linear
 * -e) circular

8) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) be disqualified for cheating
 * +b) win 1 point
 * -c) win 3 points
 * -d) lose 3 points
 * -e) lose 1 point

9) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * +a) 3/6
 * -b) 1/6
 * -c) 2/6
 * -d) 5/6
 * -e) 4/6

10) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

11) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 32
 * -b) 160
 * +c) 16
 * -d) 10
 * -e) 40

12) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) Best for partners: $$0$$ ... Worst: $$-Q$$
 * +b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -d) None of these is correct
 * -e) Best for partners: $$0$$ ... Worst: $$-3$$

13) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * +a) The hotter object has a greater energy density.
 * -b) No unique answer exists because two variables are involved (temperature and volume).
 * -c) They have the same energy density (since the holes are identical).
 * -d) The larger object has a greater energy density.

14) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * +a) True
 * -b) False

15) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * -a) no points awarded or lost
 * -b) win 1 point
 * -c) lose Q points
 * +d) lose 3 points

16) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 5
 * -b) 4
 * +c) 2
 * -d) 3
 * -e) 6

17) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/16
 * -b) 1/16
 * -c) 1/8
 * -d) 1/32
 * +e) 3/32

18) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * +a) 5/4
 * -b) 1/4
 * -c) 3/4
 * -d) 1
 * -e) 1/2
 * -f) 0

19) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 3.3
 * -b) 9.9
 * -c) 2.2
 * +d) 4.4
 * -e) 1.1

20) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 6mW
 * -b) 3mW
 * -c) 4mW
 * -d) 8mW
 * +e) 9mW

Bell:Bell3:V2
Bell152874216173 1) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) The larger object has a greater energy density.
 * b) The hotter object has a greater energy density.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) They have the same energy density (since the holes are identical).

2) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * c) Best for partners: $$0$$ ... Worst: $$-3$$
 * d) Best for partners: $$0$$ ... Worst: $$-Q$$
 * e) None of these is correct

3) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linearly
 * b) circular or elliptical
 * c) circular or linear
 * d) circular
 * e) linear or elliptical

4) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * a) True
 * b) False

5) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * a) no points awarded or lost
 * b) win 1 point
 * c) lose Q points
 * d) lose 3 points

6) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 3 4$$
 * b) $$ \tfrac 1 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 2$$

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 1
 * b) 0
 * c) 1/4
 * d) 1/2
 * e) 3/4

8) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 3
 * b) 5
 * c) 2
 * d) 4
 * e) 6

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 3mW
 * b) 4mW
 * c) 9mW
 * d) 8mW
 * e) 6mW

10) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 4/5
 * b) 5/4
 * c) 7/5
 * d) 5/6
 * e) 6/5

11) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * a) 3/6
 * b) 5/6
 * c) 1/6
 * d) 4/6
 * e) 2/6

12) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

13) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/5
 * b) 3/4
 * c) 2/4=1/2
 * d) 2/5
 * e) 5/6

14) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 4.4
 * b) 1.1
 * c) 3.3
 * d) 2.2
 * e) 9.9

15) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) be disqualified for cheating
 * b) win 1 point
 * c) win 3 points
 * d) lose 1 point
 * e) lose 3 points

16) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * a) 10
 * b) 160
 * c) 40
 * d) 32
 * e) 16

17) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) is cut in half
 * b) becomes twice as big
 * c) is reduced by a factor of 4
 * d) stays the same
 * e) becomes 4 times as big

18) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is reduced by a factor of 4
 * b) becomes 4 times as big
 * c) stays the same
 * d) becomes twice as big
 * e) is cut in half

19) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 1
 * b) 0
 * c) 5/4
 * d) 1/4
 * e) 3/4
 * f) 1/2

20) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/8
 * b) 1/32
 * c) 1/16
 * d) 3/16
 * e) 3/32

KEY:Bell:Bell3:V2
Bell152874216173 1) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) The larger object has a greater energy density.
 * +b) The hotter object has a greater energy density.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) They have the same energy density (since the holes are identical).

2) Suppose the partners choose the &beta; strategy (which was not available in the solitaire version). What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) Best for partners: $$+1$$ ... Worst: $$-3$$
 * +b) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -c) Best for partners: $$0$$ ... Worst: $$-3$$
 * -d) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -e) None of these is correct

3) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * +a) linearly
 * -b) circular or elliptical
 * -c) circular or linear
 * -d) circular
 * -e) linear or elliptical

4) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the &alpha;-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the &beta;-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.
 * +a) True
 * -b) False

5) How much do the partners win or lose if Alice answers 4&spades; to K&spades; while Bob answers 4 to A?
 * -a) no points awarded or lost
 * -b) win 1 point
 * -c) lose Q points
 * +d) lose 3 points

6) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * -a) $$\tfrac 3 4$$
 * -b) $$ \tfrac 1 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac \sqrt 3 2$$
 * +e) $$\tfrac 1 2$$

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 1
 * -b) 0
 * -c) 1/4
 * +d) 1/2
 * -e) 3/4

8) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 3
 * -b) 5
 * +c) 2
 * -d) 4
 * -e) 6

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 3mW
 * -b) 4mW
 * +c) 9mW
 * -d) 8mW
 * -e) 6mW

10) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 4/5
 * -b) 5/4
 * +c) 7/5
 * -d) 5/6
 * -e) 6/5

11) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?
 * +a) 3/6
 * -b) 5/6
 * -c) 1/6
 * -d) 4/6
 * -e) 2/6

12) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

13) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/5
 * -b) 3/4
 * -c) 2/4=1/2
 * +d) 2/5
 * -e) 5/6

14) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * +a) 4.4
 * -b) 1.1
 * -c) 3.3
 * -d) 2.2
 * -e) 9.9

15) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) be disqualified for cheating
 * +b) win 1 point
 * -c) win 3 points
 * -d) lose 1 point
 * -e) lose 3 points

16) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of &sigma;2 equal to p(1-p).  What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?
 * -a) 10
 * -b) 160
 * -c) 40
 * -d) 32
 * +e) 16

17) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) is cut in half
 * -b) becomes twice as big
 * -c) is reduced by a factor of 4
 * -d) stays the same
 * +e) becomes 4 times as big

18) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * +a) is reduced by a factor of 4
 * -b) becomes 4 times as big
 * -c) stays the same
 * -d) becomes twice as big
 * -e) is cut in half

19) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 1
 * -b) 0
 * +c) 5/4
 * -d) 1/4
 * -e) 3/4
 * -f) 1/2

20) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/8
 * -b) 1/32
 * -c) 1/16
 * -d) 3/16
 * +e) 3/32