Description
Let p(a)=.46 p(b\a)=.33 p(B\Ac)=.08
A. Find p(b)
B. Find p(a\b)
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Explanation & Answer
Let p(a)=.46 p(b\a)=.33 p(B\Ac)=.08
A. Find p(b)
B. Find p(a\b)
P(A) = 0.46
P(Ac) = 0.54
P(B| A) = 0.33
P (B | Ac) = 0.08
P(B) = P(A) P(B|A) + P(Ac)P(B | Ac) = 0.46*0.33+0.54*0.08= 0.1518+0.0432= 0.1950
P (Ac | B) = P(Ac) P(B | Ac) /P(B) = 0.54*0.08/0.1950 = 0.0432/0.1950 =0.221538
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