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Homework Answers
(a) P(Female) = 0.08 + 0.06 + 0.17 + 0.09 = 0.40
(b) P(Female or Insurance) = P(Female) + P(Insurance) - P(Female and Insurance) = 0.40 + (0.14 + 0.06) - 0.06 = 0.54
(c) P(Neither Female nor Insurance) = 1 - P(Female or Insurance) = 1 - 0.54 = 0.46
(d) P(Real Estate | Female) = P(Real Estate and Female) / P(Female) = 0.17/0.40 = 0.425
(e) P(Female | Insurance) = P(Female and Insurance) / P(Female) = 0.06/0.40 = 0.15
P(Female) = 0.40
Since 0.15 ≠ 0.40. the events Female and Insurance are not independent.
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