Answer to Question #188499 in Statistics and Probability for LE5

Question

If P(A) = 0.82, P(D) = 0.83, and P(D∩A) = 0.78, then P(A|D') is Blank 1 and P(D|A) is Blank 2.

4 Decimal Places

Answer 1

$P(A) = 0.82, P(D) = 0.83,P(D∩A) = 0.78$

 $P(A|D)'=1-P(A|D)=1-\dfrac{P(A\cap D)}{P(D)}=1-\dfrac{0.78}{0.83}=1-0.9397=0.06$

$P(D|A)=\dfrac{D\cap A)}{P(A)}=\dfrac{0.78}{0.82}=0.9512$