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) =.

Question

Mathematics

Carleigh Gill

15 May, 11:38

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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Answers (1)

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Jaydin Ramos · Answer 1

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