Question: The range of a set of data is:
a. The difference between the modal value and the mean value.
b. A measure of how much the data differ from the mean value.
c. The difference between the largest and smallest values.
d. A measure of how much the data differ from the median value.
e. The difference between the median value and the mean value.
Answer: c. The difference between the largest and smallest values.
Question: Given Event 3C, what is the probability that at least one ball is either white or blue?
a. 9/11
b. 119/144
c. 10/72
d. 28/33
e. 29/33
Answer: d. 28/33
Question: Given an urn containing 3 red balls, 4 green balls, and 5 yellow balls. What is the probability of drawing either a red ball or a green ball on a single draw?
a. 7/12
b. 1/2
c. 2/5
d. 2/3
e. 3/7
Answer: a. 7/12
Question: What is the probability of drawing a red king from a poker deck (no jokers) on a single draw?
a. 1/4
b. 1/26
c. 1/52
d. 1/13
e. 2/13
Answer: b. 1/26
Question: Suppose a poll shows Smith leading Jones by 52 percent to 48 percent for U.S. Senate. What can be said about the results of this poll?
a. If the margin of error is ± 1 percent, then Smith is certainly ahead of Jones.
b. If the margin of error is more than ± 2 percent, then Jones might lead Smith.
c. If the sample is random, then the results of the poll are unimpeachable.
d. If the confidence level is 99 percent, then Smith is certainly ahead of Jones.
e. If the margin of error is ± 3 percent, then Jones is ahead of Smith.
Answer: b. If the margin of error is more than ± 2 percent, then Jones might lead Smith.
Question: According to the principle of indifference,
a. All possible outcomes of an event are equally probable.
b. It makes no difference who conducts the experiment.
c. Some possible outcomes are so unlikely that they are ignored.
d. All possible outcomes are invariant as to time and place.
e. The probability of an event is the same regardless of what theory is used to calculate it.
Answer: a. All possible outcomes of an event are equally probable.
Question: Given Event 3B, what is the probability that one is red, the other is blue?
a. 2/3
b. 3/27
c. 77/81
d. 19/81
e. 1/3
Answer: d. 19/81
Question: To compute the probability of one team winning against another in a sporting event, the theory of probability that would normally be used is the:
a. Classical (a priori) theory.
b. Conditional theory.
c. Subjectivist theory.
d. Relativist theory.
e. Relative frequency theory.
Answer: c. Subjectivist theory.
Question: In regard to Event 1C, what are the odds?
a. 5 to 21.
b. 5 to 16.
c. 4 to 25.
d. 4 to 21.
e. 3 to 16.
Answer: d. 4 to 21
Question: Given Event 2C, what is the probability that both balls are pink?
a. 17/72
b. 35/144
c. 19/72
d. 1/4
e. 2/7
Answer: b. 35/144
Question: Given an urn containing 3 red balls and 4 white balls. If two balls are drawn and the first ball is not replaced before the second is drawn, what is the probability that both balls are red?
a. 2/7
b. 7/12
c. 1/6
d. 1/7
e. 1/5
Answer: d. 1/7
Question: Given Event 2C, what is the probability that at least one ball is blue?
a. 5/12
b. 7/12
c. 1/2
d. 11/24
e. 3/8
Answer: c. 1/2
Question: If the odds of the Steelers beating the Chiefs are 7 to 4, what is the probability of this event happening?
a. 4/7
b. 1/11
c. 7/11
d. 4/11
e. 7/4
Answer: c. 7/11
Question: On one roll of a pair of dice, what is the probability of the points adding up to 5?
a. 1/3
b. 1/9
c. 1/12
d. 5/36
e. 2/9
Answer: d. 5/36
Question: In regard to the outcome of a poll, as the confidence level increases,
a. The more difficult it becomes to avoid atypical cases.
b. The standard deviation becomes smaller.
c. The margin of error increases.
d. The standard deviation becomes greater.
e. The margin of error decreases.
Answer: c. The margin of error increases.
Question: Given Event 2B, what is the probability that the two balls are the same color?
a. 1/3
b. 2/9
c. 5/18
d. 1/6
e. 5/9
Answer: c. 5/18