Quizbank/Bell/152874216235

Bell152874216235

Bell:Bell1:V0
Bell152874216235 1) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) two of these are true
 * b) K and K&spades;
 * c) K and K&clubs;
 * d) none of these are true
 * e) K&spades; and K&clubs;

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

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

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

5) By definition, a skewed distribution
 * a) includes negative values of the observed variable
 * b) contains no outliers
 * c) is asymmetric about it's peak value
 * d) is broader than an unskewed distribution
 * e) is a "normal" distribution

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

7) 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) 8
 * c) 6
 * d) 12
 * e) 22

8) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 3.3
 * b) 9.9
 * c) 1.1
 * d) 2.2

9) 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

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

KEY:Bell:Bell1:V0
Bell152874216235 1) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * +a) two of these are true
 * -b) K and K&spades;
 * -c) K and K&clubs;
 * -d) none of these are true
 * -e) K&spades; and K&clubs;

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

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

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

5) By definition, a skewed distribution
 * -a) includes negative values of the observed variable
 * -b) contains no outliers
 * +c) is asymmetric about it's peak value
 * -d) is broader than an unskewed distribution
 * -e) is a "normal" distribution

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

7) 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) 8
 * -c) 6
 * -d) 12
 * -e) 22

8) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 3.3
 * +b) 9.9
 * -c) 1.1
 * -d) 2.2

9) 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

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

Bell:Bell1:V1
Bell152874216235 1) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K and K&clubs;
 * b) none of these are true
 * c) two of these are true
 * d) K and K&spades;
 * e) K&spades; and K&clubs;

2) 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) 8
 * b) 22
 * c) 6
 * d) 16
 * e) 12

3) By definition, a skewed distribution
 * a) contains no outliers
 * b) is asymmetric about it's peak value
 * c) is broader than an unskewed distribution
 * d) includes negative values of the observed variable
 * e) is a "normal" distribution

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

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

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

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

8) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 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) 2.2
 * c) 1.1
 * d) 9.9

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

10) 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) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 1 2$$
 * d) $$2\sqrt 2$$
 * e) $$1$$

KEY:Bell:Bell1:V1
Bell152874216235 1) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K and K&clubs;
 * -b) none of these are true
 * +c) two of these are true
 * -d) K and K&spades;
 * -e) K&spades; and K&clubs;

2) 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) 8
 * -b) 22
 * -c) 6
 * -d) 16
 * -e) 12

3) By definition, a skewed distribution
 * -a) contains no outliers
 * +b) is asymmetric about it's peak value
 * -c) is broader than an unskewed distribution
 * -d) includes negative values of the observed variable
 * -e) is a "normal" distribution

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

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

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

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

8) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 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) 2.2
 * -c) 1.1
 * +d) 9.9

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

10) 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) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$2\sqrt 2$$
 * -e) $$1$$

Bell:Bell1:V2
Bell152874216235 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 4
 * b) 3
 * c) 5
 * d) 6
 * e) 2

2) By definition, a skewed distribution
 * a) is a "normal" distribution
 * b) includes negative values of the observed variable
 * c) is asymmetric about it's peak value
 * d) is broader than an unskewed distribution
 * e) contains no outliers

3) 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) 6
 * c) 12
 * d) 22
 * e) 8

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

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 9.9
 * b) 2.2
 * c) 1.1
 * d) 3.3

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) $$\sqrt 2$$
 * c) $$\tfrac 1 2$$
 * d) $$1$$
 * e) $$2\sqrt 2$$

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

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

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

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

KEY:Bell:Bell1:V2
Bell152874216235 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * +a) 4
 * -b) 3
 * -c) 5
 * -d) 6
 * -e) 2

2) By definition, a skewed distribution
 * -a) is a "normal" distribution
 * -b) includes negative values of the observed variable
 * +c) is asymmetric about it's peak value
 * -d) is broader than an unskewed distribution
 * -e) contains no outliers

3) 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) 6
 * -c) 12
 * -d) 22
 * +e) 8

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

5) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * +a) 9.9
 * -b) 2.2
 * -c) 1.1
 * -d) 3.3

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

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

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

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

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

Bell:Bell2:V0
Bell152874216235 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 1 2$$
 * b) $$ \tfrac 1 4$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac 1 \sqrt 2$$

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

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

4) 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 0.5?
 * a) $$4/3$$
 * b) $$3$$
 * c) $$4$$
 * d) $$0$$
 * e) $$\infty$$

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

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

8) 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

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

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

KEY:Bell:Bell2:V0
Bell152874216235 1) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * +a) $$\tfrac 1 2$$
 * -b) $$ \tfrac 1 4$$
 * -c) $$\tfrac \sqrt 3 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$\tfrac 1 \sqrt 2$$

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

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

4) 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 0.5?
 * +a) $$4/3$$
 * -b) $$3$$
 * -c) $$4$$
 * -d) $$0$$
 * -e) $$\infty$$

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

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

8) 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

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

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

Bell:Bell2:V1
Bell152874216235 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) 3/4
 * e) 3/5

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

3) 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

4) 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 0.5?
 * a) $$3$$
 * b) $$4/3$$
 * c) $$0$$
 * d) $$\infty$$
 * e) $$4$$

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

6) If an atom absorbs a photon with 4 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

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

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

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

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

KEY:Bell:Bell2:V1
Bell152874216235 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) 3/4
 * -e) 3/5

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

3) 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

4) 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 0.5?
 * -a) $$3$$
 * +b) $$4/3$$
 * -c) $$0$$
 * -d) $$\infty$$
 * -e) $$4$$

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

6) If an atom absorbs a photon with 4 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

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

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

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

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

Bell:Bell2:V2
Bell152874216235 1) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 5/4
 * b) 5/6
 * c) 7/5
 * d) 6/5
 * e) 4/5

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

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 0.5?
 * a) $$0$$
 * b) $$4/3$$
 * c) $$\infty$$
 * d) $$3$$
 * e) $$4$$

4) 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) decreases by 2 eV
 * d) stays the same
 * e) increases by 2 eV

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

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

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

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

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

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

KEY:Bell:Bell2:V2
Bell152874216235 1) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 5/4
 * -b) 5/6
 * +c) 7/5
 * -d) 6/5
 * -e) 4/5

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

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 0.5?
 * -a) $$0$$
 * +b) $$4/3$$
 * -c) $$\infty$$
 * -d) $$3$$
 * -e) $$4$$

4) 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) decreases by 2 eV
 * -d) stays the same
 * -e) increases by 2 eV

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

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

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

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

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

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

Bell:Bell3:V0
Bell152874216235 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 5
 * b) 3
 * c) 6
 * d) 2
 * e) 4

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

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

4) 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) 3/6
 * c) 2/6
 * d) 1/6
 * e) 5/6

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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 22
 * b) 12
 * c) 6
 * d) 8
 * e) 16

6) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 3.3
 * b) 9.9
 * c) 1.1
 * d) 2.2

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

8) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) all of these are possible
 * b) perpendicular
 * c) at 45 degrees
 * d) parallel

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

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

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

12) 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) 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.
 * c) 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.
 * 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 once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

15) 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
 * c) 1/2
 * d) 0
 * e) 1/4

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

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

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

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

20) 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) 3/4
 * c) 5/4
 * d) 0
 * e) 1
 * f) 1/2

KEY:Bell:Bell3:V0
Bell152874216235 1) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 5
 * -b) 3
 * -c) 6
 * -d) 2
 * +e) 4

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

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

4) 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) 3/6
 * +c) 2/6
 * -d) 1/6
 * -e) 5/6

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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 22
 * -b) 12
 * -c) 6
 * -d) 8
 * +e) 16

6) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 3.3
 * +b) 9.9
 * -c) 1.1
 * -d) 2.2

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

8) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) all of these are possible
 * +b) perpendicular
 * -c) at 45 degrees
 * -d) parallel

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

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

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

12) 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) 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.
 * -c) 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.
 * +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 once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

15) 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
 * +c) 1/2
 * -d) 0
 * -e) 1/4

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

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

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

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

20) 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) 3/4
 * -c) 5/4
 * -d) 0
 * -e) 1
 * -f) 1/2

Bell:Bell3:V1
Bell152874216235 1) 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) $$3$$
 * b) $$4$$
 * c) $$\infty$$
 * d) $$0$$
 * e) $$4/3$$

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

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

4) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 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) 2.2
 * c) 3.3
 * d) 9.9

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

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

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) 1/2
 * e) 1

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

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

10) 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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 8
 * b) 6
 * c) 16
 * d) 22
 * e) 12

11) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) perpendicular
 * b) all of these are possible
 * c) parallel
 * d) at 45 degrees

12) 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) 5/6
 * c) 3/6
 * d) 1/6
 * e) 4/6

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

14) 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) 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.
 * b) 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.
 * c) 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.
 * 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 once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

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

18) 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) 1/2
 * b) 1
 * c) 3/4
 * d) 0
 * e) 5/4
 * f) 1/4

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

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

KEY:Bell:Bell3:V1
Bell152874216235 1) 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) $$3$$
 * +b) $$4$$
 * -c) $$\infty$$
 * -d) $$0$$
 * -e) $$4/3$$

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

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

4) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 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) 2.2
 * -c) 3.3
 * +d) 9.9

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

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

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) 1/2
 * -e) 1

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

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

10) 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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 8
 * -b) 6
 * +c) 16
 * -d) 22
 * -e) 12

11) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * +a) perpendicular
 * -b) all of these are possible
 * -c) parallel
 * -d) at 45 degrees

12) 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) 5/6
 * -c) 3/6
 * -d) 1/6
 * -e) 4/6

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

14) 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) 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.
 * -b) 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.
 * -c) 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.
 * +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 once and losing once. On the third event they are given the same answer and neither gain nor lose a point.

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

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

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

18) 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) 1/2
 * -b) 1
 * +c) 3/4
 * -d) 0
 * -e) 5/4
 * -f) 1/4

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

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

Bell:Bell3:V2
Bell152874216235 1) 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) $$0$$
 * b) $$3$$
 * c) $$\infty$$
 * d) $$4/3$$
 * e) $$4$$

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

3) 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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * a) 22
 * b) 16
 * c) 6
 * d) 12
 * e) 8

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

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

6) 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) 3/4
 * c) 1
 * d) 5/4
 * e) 1/2
 * f) 1/4

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

8) 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) 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.
 * 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) 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.
 * 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 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.

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

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

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

12) If an atom absorbs a photon with 2 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

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

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

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

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

17) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) at 45 degrees
 * b) parallel
 * c) all of these are possible
 * d) perpendicular

18) 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) 3/6
 * c) 2/6
 * d) 1/6
 * e) 5/6

19) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * a) 3.3
 * b) 9.9
 * c) 2.2
 * d) 1.1

20) 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) 1
 * b) 0
 * c) 3/4
 * d) 1/2
 * e) 1/4

KEY:Bell:Bell3:V2
Bell152874216235 1) 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) $$0$$
 * -b) $$3$$
 * -c) $$\infty$$
 * -d) $$4/3$$
 * +e) $$4$$

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

3) 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 90 trials, roughly 98% of the outcomes will be smaller than approximately __
 * -a) 22
 * +b) 16
 * -c) 6
 * -d) 12
 * -e) 8

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

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

6) 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) 3/4
 * -c) 1
 * +d) 5/4
 * -e) 1/2
 * -f) 1/4

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

8) 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) 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.
 * +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) 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.
 * -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 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.

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

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

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

12) If an atom absorbs a photon with 2 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

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

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

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

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

17) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) at 45 degrees
 * -b) parallel
 * -c) all of these are possible
 * +d) perpendicular

18) 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) 3/6
 * +c) 2/6
 * -d) 1/6
 * -e) 5/6

19) For a binomial distribution with n trials, the variance is &sigma;2=np(1-p). If 90 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.
 * -a) 3.3
 * +b) 9.9
 * -c) 2.2
 * -d) 1.1

20) 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) 1
 * -b) 0
 * -c) 3/4
 * +d) 1/2
 * -e) 1/4