ProblemSet2Solutions-1

ProblemSet2Solutions-1 - 79. Let M = male is chosen, F =...

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STAT 3021 Problem Set 2 Solutions Section 2.5 (pg. 55) 54. Let S = student smokes, D = student drinks alcoholic beverages, E = student eats between meals a. b. c. 56. Let B = customer invest is tax-free bonds, F = customer invests in mutual funds a. b. 60. a. b. 62. 3 books are picked at random from a shelf containing 5 novels, 3 books about poems, and a dictionary Total ways to select 3 books = a. Combinations containing the dictionary = = 28 P(dictionary is selected) =
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b. Combinations of 2 novels and 1 book of poems = = 30 P(2 novels, 1 book of poems) = 64. Any four of a kind, say four 2’s and one 5 occur in ways each with probability . Since there are ways to choose various pairs of numbers to constitute four of one kind and one of the other (we use permutation instead of combination is because that four 2’s and one 5, and four 5’s and one 2 are two di erent ways), the probability is f Section 2.7 (pg. 65)
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Unformatted text preview: 79. Let M = male is chosen, F = female is chosen, EE = elementary education, SE = secondary education, C = college education a. b. 85. Let MM = married man watches the show, MW = married woman watches the show We are given P(MM) = .4 P(MW) = .5 a. P(married couple watches the show) = b. P(wife watches given that her husband does) = c. P(at least one person of a married couple watches) = 93. Let E1 = engine 1 is available, E2 = engine 2 is available a. P(neither available) = b. P(a fire engine is available) = 97. Let = quart 1 is good, = quart 2 is good, = quart 3 is good, = quart 4 is good a. b. Ways to choose 4 bottles = Ways to choose 4 good bottles = Section 2.8 (pg. 72) 101. Let C = person has cancer, D = diagnosed with cancer We are given 103. 107. Given: A = river is polluted, B = sample detects pollution, C = fishing is permitted a. b. c. d....
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ProblemSet2Solutions-1 - 79. Let M = male is chosen, F =...

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