Problem 9. P(E₁ ∪ F₂) = ?
(A) 0.12
(B) 0.26
(C) 0.54
(D) 0.66

(E) None of the above.

Problem 10. Let event A represent a randomly selected resident with less than two violations who is also under 18. P(A*) = ___? A* is the complementary set of ( A ) (A) 0.35(B) 0.65(C) 0.77(D) 0.88(E) 0.95

Problem 11. Given that a resident has two or more violations, the probability that he/she is under 18 is:(A) 0.010(B) 0.050(C) 0.125(D) 0.833(E) 0.916

Problem 12. The probability distribution of X, the number of pin-striped suits brought on  this trip, has expected value E{X} = ____ and variance σ²{X} = _____.(A) 1.5； 0.667(B) 1.5； 0.571(C) 1.0； 0.667(D) 1.0； 0.571(E) None of the above

Problem 13. What is the probability that none of the suits brought on this trip are pin-striped?(A) 0.022(B) 0.220(C) 0.264(D) 0.494(E) None of the above

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

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

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.

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