Quizbank/Bell/152874216179

Bell152874216179

Bell:Bell1:V0
Bell152874216179 1) 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) be disqualified for cheating
 * b) win 1 point
 * 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) 2
 * b) 4
 * c) 6
 * d) 3
 * e) 5

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

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

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 16
 * b) 12
 * c) 8
 * d) 22
 * e) 6

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

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

8) 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) None of these are true.
 * 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) Distributions are never skewed. Only experimental measurements of them are skewed.

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

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

KEY:Bell:Bell1:V0
Bell152874216179 1) 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) be disqualified for cheating
 * -b) win 1 point
 * +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) 2
 * -b) 4
 * -c) 6
 * -d) 3
 * -e) 5

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

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

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 16
 * -b) 12
 * +c) 8
 * -d) 22
 * -e) 6

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

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

8) 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) None of these are true.
 * -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) Distributions are never skewed. Only experimental measurements of them are skewed.

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

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

Bell:Bell1:V1
Bell152874216179 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) $$\tfrac \sqrt 3 2$$
 * b) $$ \tfrac 1 4$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac 1 \sqrt 2$$

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

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

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

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

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 6
 * b) 12
 * c) 8
 * d) 22
 * e) 16

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

8) 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) The binary distribution is never skewed if it is a true binary distribution.
 * c) Distributions are never skewed. Only experimental measurements of them are skewed.
 * d) None of these are true.
 * e) The binary distribution is always skewed, but has little skew for a large number of trials n.

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

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

KEY:Bell:Bell1:V1
Bell152874216179 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) $$\tfrac \sqrt 3 2$$
 * -b) $$ \tfrac 1 4$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac 1 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

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

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

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

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

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 6
 * -b) 12
 * +c) 8
 * -d) 22
 * -e) 16

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

8) 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) The binary distribution is never skewed if it is a true binary distribution.
 * -c) Distributions are never skewed. Only experimental measurements of them are skewed.
 * -d) None of these are true.
 * +e) The binary distribution is always skewed, but has little skew for a large number of trials n.

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

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

Bell:Bell1:V2
Bell152874216179 1) The normal distribution (often called a "bell curve") is usually skewed
 * a) True
 * b) False

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

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

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

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 12
 * b) 22
 * c) 6
 * d) 16
 * e) 8

6) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 3
 * b) 5
 * c) 2
 * d) 1
 * e) 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) 6mW
 * c) 8mW
 * d) 9mW
 * e) 4mW

8) 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 large number of trials n.
 * c) Distributions are never skewed. Only experimental measurements of them are skewed.
 * d) The binary distribution is never skewed if it is a true binary distribution.
 * e) The binary distribution is always skewed, but has little skew for a small number of trials n.

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

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

KEY:Bell:Bell1:V2
Bell152874216179 1) The normal distribution (often called a "bell curve") is usually skewed
 * -a) True
 * +b) False

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

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

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

5) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is  &sigma;2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 40 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 12
 * -b) 22
 * -c) 6
 * -d) 16
 * +e) 8

6) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 3
 * -b) 5
 * -c) 2
 * +d) 1
 * -e) 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) 6mW
 * -c) 8mW
 * -d) 9mW
 * -e) 4mW

8) 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 large number of trials n.
 * -c) Distributions are never skewed. Only experimental measurements of them are skewed.
 * -d) The binary distribution is never skewed if it is a true binary distribution.
 * -e) The binary distribution is always skewed, but has little skew for a small number of trials n.

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

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

Bell:Bell2:V0
Bell152874216179 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 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 3mW
 * b) 8mW
 * c) 6mW
 * d) 9mW
 * e) 4mW

2) 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) None of these is correct
 * d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

3) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * a) $$4$$
 * b) $$4/3$$
 * c) $$\infty$$
 * d) $$3$$
 * e) $$0$$

4) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * a) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
 * b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
 * e) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.

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) increases by 4 eV
 * d) decreases by 4 eV
 * e) stays the same

6) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) greater than 3 eV
 * b) zero
 * c) less than 3 eV
 * d) equal to 6 eV
 * e) equal to 3 eV

7) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 3/4
 * b) 1/4
 * c) 0
 * d) 1
 * e) 1/2

8) 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) 0
 * c) 1/2
 * d) 1
 * e) 1/4
 * f) 5/4

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

10) 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) 0
 * b) 1
 * c) 1/2
 * d) 3/4
 * e) 1/4
 * f) 5/4

KEY:Bell:Bell2:V0
Bell152874216179 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 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 3mW
 * -b) 8mW
 * -c) 6mW
 * +d) 9mW
 * -e) 4mW

2) 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) None of these is correct
 * -d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * +e) Best for partners: $$0$$ ... Worst: $$-Q$$

3) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * +a) $$4$$
 * -b) $$4/3$$
 * -c) $$\infty$$
 * -d) $$3$$
 * -e) $$0$$

4) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * -a) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
 * -b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * -c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * -d) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
 * +e) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.

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) increases by 4 eV
 * -d) decreases by 4 eV
 * -e) stays the same

6) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) greater than 3 eV
 * -b) zero
 * +c) less than 3 eV
 * -d) equal to 6 eV
 * -e) equal to 3 eV

7) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 3/4
 * -b) 1/4
 * -c) 0
 * -d) 1
 * +e) 1/2

8) 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) 0
 * -c) 1/2
 * -d) 1
 * -e) 1/4
 * -f) 5/4

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

10) 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) 0
 * -b) 1
 * -c) 1/2
 * -d) 3/4
 * -e) 1/4
 * +f) 5/4

Bell:Bell2:V1
Bell152874216179 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) 5/4
 * b) 3/4
 * c) 1/4
 * d) 1
 * e) 0
 * f) 1/2

2) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * a) $$4$$
 * b) $$\infty$$
 * c) $$3$$
 * d) $$0$$
 * e) $$4/3$$

3) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * a) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
 * b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * d) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.
 * e) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a 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 passes the filter?
 * a) 6mW
 * b) 4mW
 * c) 3mW
 * d) 8mW
 * e) 9mW

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: $$0$$ ... Worst: $$-3$$
 * b) None of these is correct
 * c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * e) Best for partners: $$+1$$ ... Worst: $$-3$$

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

7) 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) 1/4
 * b) 1
 * c) 3/4
 * d) 0
 * e) 1/2
 * f) 5/4

8) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1/2
 * c) 1/4
 * d) 1
 * e) 3/4

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

10) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) equal to 3 eV
 * b) less than 3 eV
 * c) greater than 3 eV
 * d) equal to 6 eV
 * e) zero

KEY:Bell:Bell2:V1
Bell152874216179 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) 5/4
 * -b) 3/4
 * -c) 1/4
 * -d) 1
 * -e) 0
 * +f) 1/2

2) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * +a) $$4$$
 * -b) $$\infty$$
 * -c) $$3$$
 * -d) $$0$$
 * -e) $$4/3$$

3) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * -a) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.
 * -b) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * -c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * +d) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.
 * -e) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a 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 passes the filter?
 * -a) 6mW
 * -b) 4mW
 * -c) 3mW
 * -d) 8mW
 * +e) 9mW

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: $$0$$ ... Worst: $$-3$$
 * -b) None of these is correct
 * +c) Best for partners: $$0$$ ... Worst: $$-Q$$
 * -d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -e) Best for partners: $$+1$$ ... Worst: $$-3$$

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

7) 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) 1/4
 * -b) 1
 * +c) 3/4
 * -d) 0
 * -e) 1/2
 * -f) 5/4

8) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 0
 * +b) 1/2
 * -c) 1/4
 * -d) 1
 * -e) 3/4

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

10) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) equal to 3 eV
 * +b) less than 3 eV
 * -c) greater than 3 eV
 * -d) equal to 6 eV
 * -e) zero

Bell:Bell2:V2
Bell152874216179 1) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) increases by 2 eV
 * b) increases by 4 eV
 * c) decreases by 4 eV
 * d) stays the same
 * e) decreases by 2 eV

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

3) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * a) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * b) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.
 * c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * d) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
 * e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

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 passes the filter?
 * a) 8mW
 * b) 6mW
 * c) 9mW
 * d) 4mW
 * e) 3mW

7) 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: $$-Q$$
 * c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * e) Best for partners: $$0$$ ... Worst: $$-3$$

8) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * a) $$\infty$$
 * b) $$3$$
 * c) $$0$$
 * d) $$4/3$$
 * e) $$4$$

9) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 3/4
 * c) 1/4
 * d) 1/2
 * e) 1

10) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) greater than 3 eV
 * b) equal to 3 eV
 * c) less than 3 eV
 * d) equal to 6 eV
 * e) zero

KEY:Bell:Bell2:V2
Bell152874216179 1) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * +a) increases by 2 eV
 * -b) increases by 4 eV
 * -c) decreases by 4 eV
 * -d) stays the same
 * -e) decreases by 2 eV

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

3) Suppose referee adopts neutral scoring with Q=4 and asks the same question with a probability PS=0.25. This reduces the average loss rate for their partners for the following reason:  Consider a probability space with
 * -a) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and lose a point.
 * +b) 4 equally probable events: On three they are given different questions, winning twice but losing once.  On the fourth event they are given the same answer and neither gain nor lose a point.
 * -c) 4 equally probable events: On three they are given different questions, winning once but losing twice.  On the fourth event they are given the same answer and lose a point.
 * -d) 3 equally probable events: On two they are given different questions, winning twice. On the third event they are given the same answer and lose a point.
 * -e) 3 equally probable events: On two they are given different questions, winning once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

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 passes the filter?
 * -a) 8mW
 * -b) 6mW
 * +c) 9mW
 * -d) 4mW
 * -e) 3mW

7) 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: $$-Q$$
 * -c) Best for partners: $$+1$$ ... Worst: $$-3$$
 * -d) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -e) Best for partners: $$0$$ ... Worst: $$-3$$

8) Suppose the referee selects neutral scoring with $$Q =\frac{4}{3}\left(\frac{1-P_S}{P_S}\right).$$ What is the penalty if the probability of asking the same question is 0.25?
 * -a) $$\infty$$
 * -b) $$3$$
 * -c) $$0$$
 * -d) $$4/3$$
 * +e) $$4$$

9) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 3/4
 * -c) 1/4
 * +d) 1/2
 * -e) 1

10) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) greater than 3 eV
 * -b) equal to 3 eV
 * +c) less than 3 eV
 * -d) equal to 6 eV
 * -e) zero

Bell:Bell3:V0
Bell152874216179 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 6
 * b) 5
 * c) 3
 * d) 2
 * e) 4

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

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

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

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 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) 1.1
 * b) 4.4
 * c) 9.9
 * d) 2.2
 * e) 3.3

7) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) both can be created
 * b) pendulum
 * c) electromagnetic or pendulum
 * d) electromagnetic

8) 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) linear or elliptical
 * d) circular or linear
 * e) circular

9) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$1$$
 * d) $$2\sqrt 2$$
 * e) $$\sqrt 2$$

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. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/16
 * b) 1/32
 * c) 1/16
 * d) 1/8
 * e) 3/32

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

12) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$+1$$ ... Worst: $$-Q$$
 * c) None of these is correct
 * d) Best for partners: $$0$$ ... Worst: $$-3$$
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

13) is it cheating for one of the partners to change mind in after communication ceases?
 * a) It is cheating, but fortunately the penalty allows partners to do it
 * b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * 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

14) If the wavelength &lambda; associated with a photon is cut in half, 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

15) 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 (except that Plank assumed that the walls were conductive.)
 * b) Evidence presented in 1800 that light is a wave.
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

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

17) 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) becomes 4 times as big
 * c) becomes twice as big
 * d) stays the same
 * e) is cut in half

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

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

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

KEY:Bell:Bell3:V0
Bell152874216179 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 6
 * -b) 5
 * -c) 3
 * -d) 2
 * +e) 4

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

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

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

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 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) 1.1
 * +b) 4.4
 * -c) 9.9
 * -d) 2.2
 * -e) 3.3

7) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) both can be created
 * -b) pendulum
 * +c) electromagnetic or pendulum
 * -d) electromagnetic

8) 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) linear or elliptical
 * -d) circular or linear
 * -e) circular

9) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$\tfrac 1 2$$
 * +b) $$\tfrac 1 \sqrt 2$$
 * -c) $$1$$
 * -d) $$2\sqrt 2$$
 * -e) $$\sqrt 2$$

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. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/16
 * -b) 1/32
 * -c) 1/16
 * +d) 1/8
 * -e) 3/32

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

12) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$+1$$ ... Worst: $$-Q$$
 * -c) None of these is correct
 * -d) Best for partners: $$0$$ ... Worst: $$-3$$
 * -e) Best for partners: $$0$$ ... Worst: $$-Q$$

13) is it cheating for one of the partners to change mind in after communication ceases?
 * -a) It is cheating, but fortunately the penalty allows partners to do it
 * -b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * +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

14) If the wavelength &lambda; associated with a photon is cut in half, 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

15) 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 (except that Plank assumed that the walls were conductive.)
 * +b) Evidence presented in 1800 that light is a wave.
 * -c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

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

17) 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) becomes 4 times as big
 * -c) becomes twice as big
 * -d) stays the same
 * -e) is cut in half

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

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

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

Bell:Bell3:V1
Bell152874216179 1) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) becomes 4 times as big
 * b) stays the same
 * c) is reduced by a factor of 4
 * d) becomes twice as big
 * e) is cut in half

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

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

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

6) 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
 * c) linear or elliptical
 * d) circular or elliptical
 * e) circular or linear

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

8) 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) 3.3
 * c) 1.1
 * d) 2.2
 * e) 9.9

9) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$-3$$
 * c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * d) Best for partners: $$0$$ ... Worst: $$-3$$
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

10) 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) None of these are true.
 * d) The binary distribution is never skewed if it is a true binary distribution.
 * e) The binary distribution is always skewed, but has little skew for a large number of trials n.

11) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\sqrt 2$$
 * b) $$1$$
 * c) $$2\sqrt 2$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac 1 2$$

12) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) both can be created
 * b) pendulum
 * c) electromagnetic or pendulum
 * d) electromagnetic

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

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

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

16) 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 and the game should be terminated if the partners are caught doing this
 * c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * d) It is cheating, but fortunately the penalty allows partners to do it

17) 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) 1/4
 * b) 1
 * c) 5/4
 * d) 1/2
 * e) 0
 * f) 3/4

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

19) 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

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, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/32
 * b) 3/16
 * c) 1/8
 * d) 3/32
 * e) 1/16

KEY:Bell:Bell3:V1
Bell152874216179 1) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * +a) becomes 4 times as big
 * -b) stays the same
 * -c) is reduced by a factor of 4
 * -d) becomes twice as big
 * -e) is cut in half

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

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

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

6) 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
 * -c) linear or elliptical
 * -d) circular or elliptical
 * -e) circular or linear

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

8) 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) 3.3
 * -c) 1.1
 * -d) 2.2
 * -e) 9.9

9) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$-3$$
 * -c) Best for partners: $$+1$$ ... Worst: $$-Q$$
 * -d) Best for partners: $$0$$ ... Worst: $$-3$$
 * -e) Best for partners: $$0$$ ... Worst: $$-Q$$

10) 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) None of these are true.
 * -d) The binary distribution is never skewed if it is a true binary distribution.
 * +e) The binary distribution is always skewed, but has little skew for a large number of trials n.

11) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$\sqrt 2$$
 * -b) $$1$$
 * -c) $$2\sqrt 2$$
 * +d) $$\tfrac 1 \sqrt 2$$
 * -e) $$\tfrac 1 2$$

12) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) both can be created
 * -b) pendulum
 * +c) electromagnetic or pendulum
 * -d) electromagnetic

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

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

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

16) 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 and the game should be terminated if the partners are caught doing this
 * -c) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * -d) It is cheating, but fortunately the penalty allows partners to do it

17) 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) 1/4
 * -b) 1
 * +c) 5/4
 * -d) 1/2
 * -e) 0
 * -f) 3/4

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

19) 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

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, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/32
 * -b) 3/16
 * +c) 1/8
 * -d) 3/32
 * -e) 1/16

Bell:Bell3:V2
Bell152874216179 1) 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) 1/4
 * b) 1/2
 * c) 1
 * d) 0
 * e) 5/4
 * f) 3/4

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

3) 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, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/16
 * b) 3/32
 * c) 3/16
 * d) 1/32
 * e) 1/8

4) 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) 4.4
 * c) 1.1
 * d) 2.2
 * e) 9.9

5) 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 (except that Plank assumed that the walls were conductive.)
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) Evidence presented in 1800 that light is a wave.
 * 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)

6) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$1$$
 * c) $$\sqrt 2$$
 * d) $$2\sqrt 2$$
 * e) $$\tfrac 1 2$$

7) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) electromagnetic or pendulum
 * b) electromagnetic
 * c) pendulum
 * d) both can be created

8) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$+1$$ ... Worst: $$-Q$$
 * c) Best for partners: $$0$$ ... Worst: $$-3$$
 * d) None of these is correct
 * e) Best for partners: $$0$$ ... Worst: $$-Q$$

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

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

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

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

13) 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) increases by 2 eV
 * e) stays the same

14) 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) The binary distribution is never skewed if it is a true binary distribution.
 * c) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * d) Distributions are never skewed. Only experimental measurements of them are skewed.
 * e) None of these are true.

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

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

17) 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) circular or linear
 * b) circular or elliptical
 * c) circular
 * d) linearly
 * e) linear or elliptical

18) is it cheating for one of the partners to change mind in after communication ceases?
 * a) It is cheating, but fortunately the penalty allows partners to do it
 * b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * 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

19) 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) is cut in half
 * c) becomes 4 times as big
 * d) is reduced by a factor of 4
 * e) stays the same

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

KEY:Bell:Bell3:V2
Bell152874216179 1) 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) 1/4
 * -b) 1/2
 * -c) 1
 * -d) 0
 * +e) 5/4
 * -f) 3/4

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

3) 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, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/16
 * -b) 3/32
 * -c) 3/16
 * -d) 1/32
 * +e) 1/8

4) 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) 4.4
 * -c) 1.1
 * -d) 2.2
 * -e) 9.9

5) 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 (except that Plank assumed that the walls were conductive.)
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +c) Evidence presented in 1800 that light is a wave.
 * -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)

6) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * +a) $$\tfrac 1 \sqrt 2$$
 * -b) $$1$$
 * -c) $$\sqrt 2$$
 * -d) $$2\sqrt 2$$
 * -e) $$\tfrac 1 2$$

7) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * +a) electromagnetic or pendulum
 * -b) electromagnetic
 * -c) pendulum
 * -d) both can be created

8) Suppose the referee gives Alice and Bob receive question cards of the different suit (different 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: $$+1$$ ... Worst: $$-Q$$
 * -c) Best for partners: $$0$$ ... Worst: $$-3$$
 * -d) None of these is correct
 * -e) Best for partners: $$0$$ ... Worst: $$-Q$$

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

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

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

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

13) 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) increases by 2 eV
 * -e) stays the same

14) 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) The binary distribution is never skewed if it is a true binary distribution.
 * -c) The binary distribution is always skewed, but has little skew for a small number of trials n.
 * -d) Distributions are never skewed. Only experimental measurements of them are skewed.
 * -e) None of these are true.

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

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

17) 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) circular or linear
 * -b) circular or elliptical
 * -c) circular
 * +d) linearly
 * -e) linear or elliptical

18) is it cheating for one of the partners to change mind in after communication ceases?
 * -a) It is cheating, but fortunately the penalty allows partners to do it
 * -b) It is not cheating, but allowing to partners to do so violates the spirit of the game as a Bell's test experiment simulation.
 * +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

19) 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) is cut in half
 * +c) becomes 4 times as big
 * -d) is reduced by a factor of 4
 * -e) stays the same

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