Exercise Ans 3.pdf

# Exercise Ans 3.pdf - Term 1 17/18 STAT 101 INTRODUCTORY...

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Term 1, 17/18 STAT 101 INTRODUCTORY STATISTICS - GROUPS 1, 2, 3 & 4 Class Exercise 3 – Solutions 1. Let H be the event that the husband votes and W be the event that the wife votes. (i) Given that P ( H ) = 0 . 24 , P ( W ) = 0 . 34 , P ( H W ) = 0 . 10 P ( H W ) = P ( H ) + P ( W ) - P ( H W ) = 0 . 24 + 0 . 34 - 0 . 10 = 0 . 48 (ii) P ( H W c ) + P ( H c W ) = [ P ( H ) - P ( H W )] + [ P ( W ) - P ( H W )] = (0 . 24 - 0 . 1) + (0 . 34 - 0 . 1) = 0 . 38 (iii) P ( H c | W ) = P ( H c W ) P ( W ) = 0 . 34 - 0 . 1 0 . 34 = 0 . 7059 (iv) P ( W c | H c ) = P ( H c W c ) P ( H c ) = 1 - P ( H W ) 1 - P ( H ) = 1 - 0 . 48 1 - 0 . 24 = 0 . 6842 2. (i) Let T be the event that the student passed the test. Let S, N, O be the events that the student is from southern part, northern part
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• Fall '16
• Sam Riewe

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