Quizbank/Bell/152874216188

Bell152874216188

Bell:Bell1:V0
Bell152874216188 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 4
 * b) 3
 * c) 2
 * d) 1
 * e) 5

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

3) 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 loses?
 * a) K&spades; and K&clubs;
 * b) two of these are true
 * c) K and K&spades;
 * d) K and K&clubs;
 * e) none of these are true

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

5) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * a) True
 * b) False

6) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 3
 * b) 6
 * c) 1
 * d) 18
 * e) 9

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

8) The normal distribution (often called a "bell curve") is never 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) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$ \tfrac 1 4$$
 * d) $$\tfrac 1 \sqrt 2$$
 * 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 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 9mW
 * b) 3mW
 * c) 4mW
 * d) 6mW
 * e) 8mW

KEY:Bell:Bell1:V0
Bell152874216188 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 4
 * -b) 3
 * -c) 2
 * +d) 1
 * -e) 5

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

3) 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 loses?
 * -a) K&spades; and K&clubs;
 * -b) two of these are true
 * -c) K and K&spades;
 * +d) K and K&clubs;
 * -e) none of these are true

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

5) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * +a) True
 * -b) False

6) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * +a) 3
 * -b) 6
 * -c) 1
 * -d) 18
 * -e) 9

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

8) The normal distribution (often called a "bell curve") is never 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) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$ \tfrac 1 4$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * +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 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 9mW
 * +b) 3mW
 * -c) 4mW
 * -d) 6mW
 * -e) 8mW

Bell:Bell1:V1
Bell152874216188 1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?
 * a) 4/6
 * b) 1/6
 * c) 2/6
 * d) 5/6
 * e) 3/6

2) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 3
 * b) 18
 * c) 6
 * d) 1
 * e) 9

3) 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) $$\tfrac 1 \sqrt 2$$

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

5) 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 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 4mW
 * b) 6mW
 * c) 3mW
 * d) 9mW
 * e) 8mW

6) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * a) True
 * b) False

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

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

9) 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 loses?
 * a) K and K&clubs;
 * b) none of these are true
 * c) two of these are true
 * d) K&spades; and K&clubs;
 * e) K and K&spades;

10) The normal distribution (often called a "bell curve") is never skewed
 * a) True
 * b) False

KEY:Bell:Bell1:V1
Bell152874216188 1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as either a "two" or a "three"?
 * -a) 4/6
 * -b) 1/6
 * +c) 2/6
 * -d) 5/6
 * -e) 3/6

2) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * +a) 3
 * -b) 18
 * -c) 6
 * -d) 1
 * -e) 9

3) 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) $$\tfrac 1 \sqrt 2$$

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

5) 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 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 4mW
 * -b) 6mW
 * +c) 3mW
 * -d) 9mW
 * -e) 8mW

6) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * +a) True
 * -b) False

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

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

9) 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 loses?
 * +a) K and K&clubs;
 * -b) none of these are true
 * -c) two of these are true
 * -d) K&spades; and K&clubs;
 * -e) K and K&spades;

10) The normal distribution (often called a "bell curve") is never skewed
 * +a) True
 * -b) False

Bell:Bell1:V2
Bell152874216188 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 1
 * b) 6
 * c) 18
 * d) 9
 * e) 3

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

3) The normal distribution (often called a "bell curve") is never skewed
 * a) True
 * b) False

4) 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 loses?
 * a) K and K&clubs;
 * b) K&spades; and K&clubs;
 * c) two of these are true
 * d) K and K&spades;
 * e) none of these are true

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

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) $$\tfrac \sqrt 3 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 3 4$$
 * e) $$ \tfrac 1 4$$

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.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 3mW
 * b) 4mW
 * c) 9mW
 * d) 8mW
 * e) 6mW

8) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * a) True
 * b) False

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

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

KEY:Bell:Bell1:V2
Bell152874216188 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * -a) 1
 * -b) 6
 * -c) 18
 * -d) 9
 * +e) 3

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

3) The normal distribution (often called a "bell curve") is never skewed
 * +a) True
 * -b) False

4) 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 loses?
 * +a) K and K&clubs;
 * -b) K&spades; and K&clubs;
 * -c) two of these are true
 * -d) K and K&spades;
 * -e) none of these are true

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

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) $$\tfrac \sqrt 3 2$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$ \tfrac 1 4$$

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.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 3mW
 * -b) 4mW
 * -c) 9mW
 * -d) 8mW
 * -e) 6mW

8) The binomial distribution results from observing n outcomes, each having a probability p of "success"
 * +a) True
 * -b) False

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

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

Bell:Bell2:V0
Bell152874216188 1) 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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 8mW
 * b) 9mW
 * c) 4mW
 * d) 3mW
 * e) 6mW

2) When is the referee allowed to observe Alice and Bob?
 * a) never
 * b) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * c) The referee should carefully observe Alice and Bob all the time
 * d) While their backs are turned, but not while they are discussing strategy (phase 1)

3) 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) $$0$$
 * c) $$4$$
 * d) $$4/3$$
 * e) $$\infty$$

4) Suppose both partners choose to answer "even" to any question that is asked.  What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$0$$ ... Worst: $$-3$$
 * b) Best for partners: $$+1$$ ... Worst: $$-3$$
 * c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * d) None of these is correct
 * e) Best for partners: $$+1$$ ... Worst: $$-Q$$

5) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) increases by 2 eV
 * b) decreases by 2 eV
 * c) stays the same
 * d) increases by 4 eV
 * e) decreases by 4 eV

6) 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) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 0
 * c) 1/4
 * d) 1
 * e) 1/2

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

9) 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) 1/2
 * b) 1
 * c) 5/4
 * d) 0
 * e) 3/4
 * f) 1/4

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

KEY:Bell:Bell2:V0
Bell152874216188 1) 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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 8mW
 * -b) 9mW
 * -c) 4mW
 * -d) 3mW
 * +e) 6mW

2) When is the referee allowed to observe Alice and Bob?
 * -a) never
 * -b) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * -c) The referee should carefully observe Alice and Bob all the time
 * +d) While their backs are turned, but not while they are discussing strategy (phase 1)

3) 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) $$0$$
 * -c) $$4$$
 * -d) $$4/3$$
 * -e) $$\infty$$

4) Suppose both partners choose to answer "even" to any question that is asked.  What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * -a) Best for partners: $$0$$ ... Worst: $$-3$$
 * -b) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -d) None of these is correct
 * +e) Best for partners: $$+1$$ ... Worst: $$-Q$$

5) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * +a) increases by 2 eV
 * -b) decreases by 2 eV
 * -c) stays the same
 * -d) increases by 4 eV
 * -e) decreases by 4 eV

6) 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) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

7) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 3/4
 * -b) 0
 * +c) 1/4
 * -d) 1
 * -e) 1/2

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

9) 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) 1/2
 * -b) 1
 * -c) 5/4
 * -d) 0
 * -e) 3/4
 * +f) 1/4

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

Bell:Bell2:V1
Bell152874216188 1) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 0
 * b) 3/4
 * c) 1/4
 * d) 1
 * e) 1/2
 * f) 5/4

2) When is the referee allowed to observe Alice and Bob?
 * a) While their backs are turned, but not while they are discussing strategy (phase 1)
 * b) The referee should carefully observe Alice and Bob all the time
 * c) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * d) never

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) 1/2
 * b) 1/4
 * c) 5/4
 * d) 0
 * e) 3/4
 * f) 1

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

5) 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) $$0$$
 * b) $$4/3$$
 * c) $$4$$
 * d) $$\infty$$
 * e) $$3$$

6) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 0
 * b) 1/4
 * c) 1/2
 * d) 1
 * e) 3/4

7) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * 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) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 3mW
 * b) 9mW
 * c) 4mW
 * d) 8mW
 * e) 6mW

9) Suppose both partners choose to answer "even" to any question that is asked.  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) Best for partners: $$0$$ ... Worst: $$-3$$
 * d) None of these is correct
 * e) Best for partners: $$+1$$ ... Worst: $$-Q$$

10) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) increases by 2 eV
 * c) decreases by 2 eV
 * d) increases by 4 eV
 * e) stays the same

KEY:Bell:Bell2:V1
Bell152874216188 1) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 0
 * -b) 3/4
 * -c) 1/4
 * -d) 1
 * +e) 1/2
 * -f) 5/4

2) When is the referee allowed to observe Alice and Bob?
 * +a) While their backs are turned, but not while they are discussing strategy (phase 1)
 * -b) The referee should carefully observe Alice and Bob all the time
 * -c) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * -d) never

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) 1/2
 * +b) 1/4
 * -c) 5/4
 * -d) 0
 * -e) 3/4
 * -f) 1

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

5) 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) $$0$$
 * -b) $$4/3$$
 * -c) $$4$$
 * -d) $$\infty$$
 * -e) $$3$$

6) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 0
 * +b) 1/4
 * -c) 1/2
 * -d) 1
 * -e) 3/4

7) This figure is associated with
 * +a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -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) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 3mW
 * -b) 9mW
 * -c) 4mW
 * -d) 8mW
 * +e) 6mW

9) Suppose both partners choose to answer "even" to any question that is asked.  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) Best for partners: $$0$$ ... Worst: $$-3$$
 * -d) None of these is correct
 * +e) Best for partners: $$+1$$ ... Worst: $$-Q$$

10) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 4 eV
 * +b) increases by 2 eV
 * -c) decreases by 2 eV
 * -d) increases by 4 eV
 * -e) stays the same

Bell:Bell2:V2
Bell152874216188 1) 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) $$\infty$$
 * b) $$0$$
 * c) $$3$$
 * d) $$4$$
 * e) $$4/3$$

2) Suppose both partners choose to answer "even" to any question that is asked.  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: $$-3$$
 * c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * d) Best for partners: $$0$$ ... Worst: $$-Q$$
 * e) Best for partners: $$0$$ ... Worst: $$-3$$

3) 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) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

4) 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
 * b) 0
 * c) 1/2
 * d) 1/4
 * e) 5/4
 * f) 3/4

5) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 1
 * c) 1/4
 * d) 0
 * e) 1/2

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

7) When is the referee allowed to observe Alice and Bob?
 * a) While their backs are turned, but not while they are discussing strategy (phase 1)
 * b) The referee should carefully observe Alice and Bob all the time
 * c) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * d) never

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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 4mW
 * b) 8mW
 * c) 6mW
 * d) 3mW
 * e) 9mW

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

10) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) stays the same
 * c) increases by 4 eV
 * d) decreases by 2 eV
 * e) increases by 2 eV

KEY:Bell:Bell2:V2
Bell152874216188 1) 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) $$\infty$$
 * +b) $$0$$
 * -c) $$3$$
 * -d) $$4$$
 * -e) $$4/3$$

2) Suppose both partners choose to answer "even" to any question that is asked.  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: $$-3$$
 * +c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -d) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -e) Best for partners: $$0$$ ... Worst: $$-3$$

3) 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) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

4) 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
 * -b) 0
 * -c) 1/2
 * +d) 1/4
 * -e) 5/4
 * -f) 3/4

5) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 3/4
 * -b) 1
 * +c) 1/4
 * -d) 0
 * -e) 1/2

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

7) When is the referee allowed to observe Alice and Bob?
 * +a) While their backs are turned, but not while they are discussing strategy (phase 1)
 * -b) The referee should carefully observe Alice and Bob all the time
 * -c) While they are discussing strategy (phase 1), but not while their backs are turned to each other.
 * -d) never

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 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 4mW
 * -b) 8mW
 * +c) 6mW
 * -d) 3mW
 * -e) 9mW

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

10) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 4 eV
 * -b) stays the same
 * -c) increases by 4 eV
 * -d) decreases by 2 eV
 * +e) increases by 2 eV

Bell:Bell3:V0
Bell152874216188 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 5
 * b) 2
 * c) 1
 * d) 4
 * e) 3

2) 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 3 points
 * c) win 1 point
 * d) lose 1 point
 * e) lose 3 points

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

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) 10
 * b) 160
 * c) 40
 * d) 32
 * e) 16

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 3
 * b) 18
 * c) 1
 * d) 9
 * e) 6

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

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.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) 3mW
 * b) 4mW
 * c) 8mW
 * d) 9mW
 * e) 6mW

8) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an &epsilon;>0.2
 * b) create an elliptically polarized wave with an &epsilon;<0.8
 * c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

9) 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) $$\tfrac 1 \sqrt 2$$
 * c) $$ \tfrac 1 4$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 2$$

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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac \sqrt 3 2$$
 * b) $$\tfrac 1 4$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac 3 4$$

11) Suppose both partners choose to answer "even" to any question that is asked.  What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * a) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * b) Best for partners: $$0$$ ... Worst: $$-3$$
 * c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * e) None of these is correct

12) is it cheating for one of the partners to change mind in after communication ceases?
 * a) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * b) It is cheating, but fortunately the penalty allows partners to do it
 * c) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * d) It is cheating and the game should be terminated if the partners are caught doing this

13) 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 0?
 * a) $$4$$
 * b) $$3$$
 * c) $$4/3$$
 * d) $$0$$
 * e) $$\infty$$

14) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1/4
 * b) 1/2
 * c) 0
 * d) 1
 * e) 3/4

15) 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) 3/4
 * c) 1/2
 * d) 1
 * e) 1/4

16) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * a) They both emit the same number of photons (since the holes are identical).
 * b) The object with the greater volume.
 * c) The object with the greater temperature emits more.
 * d) No unique answer exists because two variables are involved (temperature and volume).

17) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) stays the same
 * b) decreases by 2 eV
 * c) decreases by 4 eV
 * d) increases by 4 eV
 * e) increases by 2 eV

18) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1/5
 * b) &minus;1/5
 * c) +2/5
 * d) &minus;2/5
 * e) 0
 * f) +1

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

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

KEY:Bell:Bell3:V0
Bell152874216188 1) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 5
 * -b) 2
 * +c) 1
 * -d) 4
 * -e) 3

2) 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 3 points
 * +c) win 1 point
 * -d) lose 1 point
 * -e) lose 3 points

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

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) 10
 * -b) 160
 * -c) 40
 * -d) 32
 * +e) 16

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * +a) 3
 * -b) 18
 * -c) 1
 * -d) 9
 * -e) 6

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

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.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) 3mW
 * -b) 4mW
 * -c) 8mW
 * -d) 9mW
 * -e) 6mW

8) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an &epsilon;>0.2
 * -b) create an elliptically polarized wave with an &epsilon;<0.8
 * -c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * +d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

9) 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) $$\tfrac 1 \sqrt 2$$
 * -c) $$ \tfrac 1 4$$
 * -d) $$\tfrac \sqrt 3 2$$
 * +e) $$\tfrac 1 2$$

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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * +a) $$\tfrac \sqrt 3 2$$
 * -b) $$\tfrac 1 4$$
 * -c) $$\tfrac 1 2$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$\tfrac 3 4$$

11) Suppose both partners choose to answer "even" to any question that is asked.  What are the best and worst possible outcomes for the partners? (Assume for this question that $$Q>3$$)
 * +a) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -b) Best for partners: $$0$$ ... Worst: $$-3$$
 * -c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -e) None of these is correct

12) is it cheating for one of the partners to change mind in after communication ceases?
 * -a) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * -b) It is cheating, but fortunately the penalty allows partners to do it
 * +c) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * -d) It is cheating and the game should be terminated if the partners are caught doing this

13) 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 0?
 * -a) $$4$$
 * -b) $$3$$
 * -c) $$4/3$$
 * -d) $$0$$
 * +e) $$\infty$$

14) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * +a) 1/4
 * -b) 1/2
 * -c) 0
 * -d) 1
 * -e) 3/4

15) 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) 3/4
 * +c) 1/2
 * -d) 1
 * -e) 1/4

16) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * -a) They both emit the same number of photons (since the holes are identical).
 * -b) The object with the greater volume.
 * +c) The object with the greater temperature emits more.
 * -d) No unique answer exists because two variables are involved (temperature and volume).

17) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) stays the same
 * -b) decreases by 2 eV
 * +c) decreases by 4 eV
 * -d) increases by 4 eV
 * -e) increases by 2 eV

18) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) +1/5
 * +b) &minus;1/5
 * -c) +2/5
 * -d) &minus;2/5
 * -e) 0
 * -f) +1

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

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

Bell:Bell3:V1
Bell152874216188 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/4=1/2
 * b) 2/5
 * c) 5/6
 * d) 3/5
 * e) 3/4

2) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * a) The object with the greater temperature emits more.
 * b) They both emit the same number of photons (since the holes are identical).
 * c) The object with the greater volume.
 * d) No unique answer exists because two variables are involved (temperature and volume).

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 3 points
 * d) win 3 points
 * e) lose 1 point

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

5) is it cheating for one of the partners to change mind in after communication ceases?
 * a) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * b) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * c) It is cheating and the game should be terminated if the partners are caught doing this
 * d) It is cheating, but fortunately the penalty allows partners to do it

6) Suppose both partners choose to answer "even" to any question that is asked.  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) None of these is correct
 * d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * e) Best for partners: $$0$$ ... Worst: $$-3$$

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

8) 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) $$\tfrac 1 2$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$ \tfrac 1 4$$

9) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) decreases by 2 eV
 * c) increases by 4 eV
 * d) stays the same
 * e) increases by 2 eV

10) 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) 3/4
 * d) 1/2
 * e) 1/4

11) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;2/5
 * b) +1
 * c) &minus;1/5
 * d) 0
 * e) +1/5
 * f) +2/5

12) 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) 4mW
 * b) 6mW
 * c) 8mW
 * d) 3mW
 * e) 9mW

13) 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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 4$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac 1 \sqrt 2$$

14) 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) 160
 * b) 10
 * c) 16
 * d) 32
 * e) 40

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

16) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 9
 * b) 18
 * c) 6
 * d) 1
 * e) 3

17) 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 0?
 * a) $$3$$
 * b) $$\infty$$
 * c) $$4$$
 * d) $$0$$
 * e) $$4/3$$

18) To create an unpolarized pendulum oscillation
 * a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * c) create an elliptically polarized wave with an &epsilon;>0.2
 * d) create an elliptically polarized wave with an &epsilon;<0.8

19) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 1/4
 * c) 0
 * d) 3/4
 * e) 1

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

KEY:Bell:Bell3:V1
Bell152874216188 1) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/4=1/2
 * -b) 2/5
 * -c) 5/6
 * +d) 3/5
 * -e) 3/4

2) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * +a) The object with the greater temperature emits more.
 * -b) They both emit the same number of photons (since the holes are identical).
 * -c) The object with the greater volume.
 * -d) No unique answer exists because two variables are involved (temperature and volume).

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 3 points
 * -d) win 3 points
 * -e) lose 1 point

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

5) is it cheating for one of the partners to change mind in after communication ceases?
 * -a) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * +b) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * -c) It is cheating and the game should be terminated if the partners are caught doing this
 * -d) It is cheating, but fortunately the penalty allows partners to do it

6) Suppose both partners choose to answer "even" to any question that is asked.  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) None of these is correct
 * -d) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -e) Best for partners: $$0$$ ... Worst: $$-3$$

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

8) 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) $$\tfrac 1 2$$
 * -c) $$\tfrac \sqrt 3 2$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$ \tfrac 1 4$$

9) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * +a) decreases by 4 eV
 * -b) decreases by 2 eV
 * -c) increases by 4 eV
 * -d) stays the same
 * -e) increases by 2 eV

10) 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) 3/4
 * +d) 1/2
 * -e) 1/4

11) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) &minus;2/5
 * -b) +1
 * +c) &minus;1/5
 * -d) 0
 * -e) +1/5
 * -f) +2/5

12) 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) 4mW
 * -b) 6mW
 * -c) 8mW
 * +d) 3mW
 * -e) 9mW

13) 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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 2$$
 * -b) $$\tfrac 1 4$$
 * +c) $$\tfrac \sqrt 3 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$\tfrac 1 \sqrt 2$$

14) 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) 160
 * -b) 10
 * +c) 16
 * -d) 32
 * -e) 40

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

16) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * -a) 9
 * -b) 18
 * -c) 6
 * -d) 1
 * +e) 3

17) 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 0?
 * -a) $$3$$
 * +b) $$\infty$$
 * -c) $$4$$
 * -d) $$0$$
 * -e) $$4/3$$

18) To create an unpolarized pendulum oscillation
 * +a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -c) create an elliptically polarized wave with an &epsilon;>0.2
 * -d) create an elliptically polarized wave with an &epsilon;<0.8

19) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 1/2
 * +b) 1/4
 * -c) 0
 * -d) 3/4
 * -e) 1

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

Bell:Bell3:V2
Bell152874216188 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * a) 9
 * b) 18
 * c) 3
 * d) 6
 * e) 1

2) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * a) They both emit the same number of photons (since the holes are identical).
 * b) The object with the greater volume.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) The object with the greater temperature emits more.

3) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) stays the same
 * b) decreases by 4 eV
 * c) decreases by 2 eV
 * d) increases by 2 eV
 * e) increases by 4 eV

4) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 1
 * c) 3/4
 * d) 0
 * e) 1/4

5) 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 0?
 * a) $$3$$
 * b) $$\infty$$
 * c) $$4$$
 * d) $$0$$
 * e) $$4/3$$

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) 40
 * b) 160
 * c) 32
 * d) 10
 * e) 16

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

8) 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) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 1 2$$
 * e) $$ \tfrac 1 4$$

9) is it cheating for one of the partners to change mind in after communication ceases?
 * a) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * b) It is cheating, but fortunately the penalty allows partners to do it
 * c) It is cheating and the game should be terminated if the partners are caught doing this
 * d) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.

10) Suppose both partners choose to answer "even" to any question that is asked.  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) None of these is correct
 * c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * e) Best for partners: $$0$$ ... Worst: $$-3$$

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

12) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;2/5
 * b) &minus;1/5
 * c) +2/5
 * d) +1
 * e) 0
 * f) +1/5

13) 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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$\tfrac 1 4$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 3 4$$

14) 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) 0
 * d) 1
 * e) 1/2

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) lose 3 points
 * b) win 1 point
 * c) win 3 points
 * d) be disqualified for cheating
 * e) lose 1 point

16) 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) 3mW
 * b) 8mW
 * c) 4mW
 * d) 6mW
 * e) 9mW

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

18) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an &epsilon;<0.8
 * b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * c) create an elliptically polarized wave with an &epsilon;>0.2
 * d) create an elliptically polarized wave with an 0.2<&epsilon;<0.8

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

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

KEY:Bell:Bell3:V2
Bell152874216188 1) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are observed, then 68% of the time the observed number of positive outcomes will fall within &plusmn;___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).
 * -a) 9
 * -b) 18
 * +c) 3
 * -d) 6
 * -e) 1

2) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?
 * -a) They both emit the same number of photons (since the holes are identical).
 * -b) The object with the greater volume.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * +d) The object with the greater temperature emits more.

3) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) stays the same
 * +b) decreases by 4 eV
 * -c) decreases by 2 eV
 * -d) increases by 2 eV
 * -e) increases by 4 eV

4) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 1/2
 * -b) 1
 * -c) 3/4
 * -d) 0
 * +e) 1/4

5) 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 0?
 * -a) $$3$$
 * +b) $$\infty$$
 * -c) $$4$$
 * -d) $$0$$
 * -e) $$4/3$$

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) 40
 * -b) 160
 * -c) 32
 * -d) 10
 * +e) 16

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

8) 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) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * +d) $$\tfrac 1 2$$
 * -e) $$ \tfrac 1 4$$

9) is it cheating for one of the partners to change mind in after communication ceases?
 * +a) It is not cheating, and allowing to partners to do this is in the spirit of the game as a Bell's test experiment simulation.
 * -b) It is cheating, but fortunately the penalty allows partners to do it
 * -c) It is cheating and the game should be terminated if the partners are caught doing this
 * -d) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.

10) Suppose both partners choose to answer "even" to any question that is asked.  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) None of these is correct
 * -c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * +d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -e) Best for partners: $$0$$ ... Worst: $$-3$$

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

12) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) &minus;2/5
 * +b) &minus;1/5
 * -c) +2/5
 * -d) +1
 * -e) 0
 * -f) +1/5

13) 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.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$\tfrac 1 4$$
 * -c) $$\tfrac 1 2$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 3 4$$

14) 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) 0
 * -d) 1
 * +e) 1/2

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) lose 3 points
 * +b) win 1 point
 * -c) win 3 points
 * -d) be disqualified for cheating
 * -e) lose 1 point

16) 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) 3mW
 * -b) 8mW
 * -c) 4mW
 * -d) 6mW
 * -e) 9mW

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

18) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an &epsilon;<0.8
 * +b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -c) create an elliptically polarized wave with an &epsilon;>0.2
 * -d) create an elliptically polarized wave with an 0.2<&epsilon;<0.8

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

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