Calculate P(F|E), if

Question

Calculate P(F|E), if

  P(E|F)= 0.08

  P(E)= 0.58

  P(F)= 0.36

Round your answer to five decimals. 

Answer 1

Use Bayes' Theorem

P(A/B)P(B) = P(B/A)P(A), an identity

let A= E and B = F

P(E/F)P(F) = P(F/E)P(E)

.08(.36) = P(F/E)(.58)

P(F/E) = .08(.36)/.58 = .049655172 = .04966 rounded to 5 decimal places