4. The sum of the probabilities of two complementary events is________. (5 points)
(A)1.0
(B)0.5
(C)0.25
(D)0

1. The mean and variance of the_________ distribution are the same. (5 points) (A)Poisson (B)Exponential (C)Binomial (D)Gamma

2. The p-value is a probability which offers a measure of the evidence for determining whether _________ should be rejected.(5 points) (A)the alternative hypothesis (B)the null hypothesis (C)neither the null nor the alternative hypothesis (D)either the null or the alternative hypothesis

3. The measure of variability which overcomes the dependency on the extreme data values is the_______ .(5 points) (A)median (B)interquartile range(C)range (D)geometric mean

Problem 20. The number of collisions at sea in a year is Poisson distributed. Thus, the length of time between collisions follows:(A) a Poisson distribution also.(B) a normal distribution.(C) an exponential distribution.(D) a Bernoulli distribution.(E) None of the above.

Problem 19. Suppose a simple random sample of n=2 homes is to be selected from this population of five homes. Which of the following statements concerning this sampling procedure is correct?(A) The resulting sample mean will be identical to the population mean.(B) The sampling procedure guarantees that the sample will not be comprised of two houses immediately next to one another on the cul-de-sac.(C) Homes with larger property taxes are relatively more likely to be selected than are homes with smaller property taxes.(D) The sample mean property taxes paid, X, is certain to be no larger than $547.5.(E) None of the above.

Problem 18. The population variance is:(A) 24.9(B) 50.0(C) 2,490.0(D) 3,112.5(E) 12,450.0

Problem 17. The population mean is:(A) 500(B) 520(C) 567(D) 625(E) the population mean cannot be determined from the information given.

Problem 16. What is the coefficient of correlation between X and Y?(A) 0(B) 0.047(C) 0.250(D) 0.375(E) 0.500

Problem 15. What is σ²{T}, where T is defined as the difference between X and Y； that is, T=X-Y.(A) 14.0(B) 20.0(C) 23.0(D) 26.0(E) Cannot determine without additional information.

Problem 14. What is E{T}, where T is defined as the difference between X and Y； that is, T=X-Y.(A)-20.0(B) 0.0(C) 20.0(D) 45.0(E)14.0

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