Question

Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities are P(S1) = 0.16, P(S2) = 0.57, and P(S3) = 0.27. With sample information I, P(I | S1) = 0.13, P(I | S2) = 0.07, and P(I | S3) = 0.19. Compute the revised or posterior probabilities: P(S1 | I), P(S2 | I), and P(S3 | I). If required, round your answers to four decimal places.

Answer 1

The answer would be 1.0067