Suppose that PUB 074 PAB 074 PB 022Determine PBA Round

Suppose that PU\\B) = 0.74 # P[A\\B = 0.74 , P(B) = 0.22.Determine P(B\\A) Round your answer to three decimal places (e.g. 98.765).

Solution

P(A)=P(A|B)P(B) + P(A|B\')P(B\')

=P(A|B)P(B) + P(A|B\')(1-P(B))

=0.74*0.22+0.74*0.78

=0.1628+0.5772

=0.74

P(AB)=P(A|B)P(B)=0.74*0.22=0.1628

Thus,P(B|A)=P(BA)/P(A)=P(AB)/P(A)=0.1628/0.74=0.22

 Suppose that PU\\B) = 0.74 # P[A\\B = 0.74 , P(B) = 0.22.Determine P(B\\A) Round your answer to three decimal places (e.g. 98.765). SolutionP(A)=P(A|B)P(B) + P

Get Help Now

Submit a Take Down Notice

Tutor
Tutor: Dr Jack
Most rated tutor on our site