147-sample4

# 147-sample4 - 1 Under certain requirements the binomial...

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1. Under certain requirements the binomial formula, , can be used to calculate the chance that an event occurs exactly k times in n trials. Which of the statements (a) - (d) is not one of the requirements for using the binomial formula? a. The trials must be dependent. b. The value of n must be fixed in advance. c. The value of p must be the probability that the event will occur on any particular trial. d. The value of p cannot change from trial to trial. e. All of the above requirements are needed to use the binomial formula. Answer (a) 2. A single die is rolled five times. We wish to use the binomial formula to calculate the probability that exactly two of the rolls had a three showing. In this case a. the correct value for n is 2. b. the correct value for p is 1/2. c. the correct value for k is 2. d. both (b) and (c) are true. e. it is improper to use the binomial formula. Answer (c) 3. When tossing a fair coin and counting the number of heads obtained, the law of averages states that a. the number of heads equals the number of tosses plus a chance error. b. the number of heads equals half the number of tosses if the number of tosses is large. c. the percentage of heads equals 50% if the number of tosses is large. d. both (a) and (c) are true. e. none of the above are true. Answer (e) 4. When drawing one hundred numbered tickets at random with replacement from a box, a. the sum of the tickets is equal to the expected value for the sum of the draws plus a chance error, where the size of the chance error is given by the SD of the box. b. the expected value for the sum of the draws is given by . c. the SE of the box is given by . d. all of the above are true. e. none of the above are true.

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Answer (e) 5. A probability histogram a. represents chance by area. b. is the same thing as an empirical histogram. c. must be based on a large number of observations. d. always follows the normal curve. e. satisfies both (a) and (d). Answer (a)
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147-sample4 - 1 Under certain requirements the binomial...

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