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5 September, 04:44

Find the joint probability of AA and BB for the following: a) P (A) =.36 and P (B|A) =.87 b) P (B) =.53 and P (A|B) =.

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  1. 5 September, 04:54
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    Note that

    P (A∩B) = P (B|A) P (A)

    Therefore

    P (A∩B) = 0.87*0.36 = 0.31

    Also

    P (B∩A) = P (A|B) P (B)

    0.31 = P (A|B) * 0.53

    P (A|B) = 0.31/0.53 = 0.585
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