ST 558 Homework 2

ST 558 Homework 2 - b) P(oil | filter) = P(oil and...

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Kelly Harrison ST 558D 2/1/10 Homework #2 PROBLEM 1 education male female elementary 38 45 83 secondary 28 50 78 college 22 17 39 88 112 200 a) P(male | secondary) = 28/78 = 14/37 b) P(no college | female) = 1 – 17/112 = 95/112 PROBLEM 2 non-smokers moderate smokers heavy smokers hypertension 21 36 30 87 no hypertension 48 26 19 93 69 62 49 180 a) P(hypertension | heavy smoker) = 30/49 b) P(nonsmoker | no hypertension) = 48/93 PROBLEM 3 a) P(survives then rejected) = .9(.08) = .072 b) P(rejected by the 3 rd department) .12 PROBLEM 4 a) P(filter | oil) = P(filter and oil)/P(oil) = .14/.25 = 14/25
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Unformatted text preview: b) P(oil | filter) = P(oil and filter)/P(filter) = .14/.40 = 7/20 PROBLEM 5 P(+) = P(cancer)P(+|cancer) + P(no cancer)P(+ | no cancer) = .05(.78) + .95(.06) = .096 PROBLEM 6 P(ticket) = .4(.2) + .3(.1) + .2(.5) + .3(.2) = .27 PROBLEM 7 P(latex | roller) = P(latex and roller)/P(roller) = P(latex)P(roller |latex)/[P(latex)P(roller | latex) + P(s.g.)P(roller | s.g.) = .75(.6)/[.75(.6) + .25(.30)] = .85714....
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ST 558 Homework 2 - b) P(oil | filter) = P(oil and...

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