Suppose a basketball player is an excellent free throw shooter and makes 91 of his free throws (i.e., he has a 91 chance of making a single free throw). Assume that free throw shots are independent of one another.
Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws. Round to the nearest ten-thousandth. A) 0.0007 B) 0.2464 C) 0.7536 D) 0.9993
Q. 2Given that a random variable x, the number of successes, follows a Poisson process, then the number of successes in any interval is independent of the number of successes in any other interval provided the intervals
A) are disjoint. B) overlap.
C) have at least one element in common. D) are the same size and are independent.
Q. 3Classify the two given samples as independent or dependent. Sample 1: The scores of 16 students who took a statistics final Sample 2: The scores of 16 different students who took a physics final
A) independent B) dependent
Q. 4A local outdoor equipment store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated.
The current owners have never determined their outdated percentage and can not help the buyers. Approximately how large a sample do the buyers need in order to insure that they are 95 confident that the margin of error is within 3? A) 1068 B) 2135 C) 4269 D) 545
Q. 5Classify the two given samples as independent or dependent. Sample 1: The heights in inches of 27 newborn females Sample 2: The heights in inches of 27 newborn males
A) independent B) dependent
Q. 6A researcher wishes to estimate the number of households with two computers.
How large a sample is needed in order to be 98 confident that the sample proportion will not differ from the true proportion by more than 2? A previous study indicates that the proportion of households with two computers is 20. A) 2172 B) 1537 C) 2715 D) 3
Q. 7A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts.
Also assume that the probabilities of the individual parts working are P(A ) = P(B) = 0.99, P(C) = 0.91, and P(D) = 0.93. Find the probability that the machine works properly. Round to the nearest ten-thousandth. A) 0.8295 B) 0.8378 C) 0.8919 D) 0.1705
Q. 8A travel industry researcher interviews all of the passengers on five randomly selected cruises. What sampling technique is used?
A) cluster
B) simple random
C) convenience
D) systematic
E) stratified
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