Suppose that you are given a decision situation with three possible states of nature: s1, s2, and

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) = 0.2, P(s2) = 0.5, and P(s3) = 0.3. With sample information I, P(I | s1) = 0.1, P(I | s2) = 0.05, and P(I | s3) = 0.2. Compute the revised or posterior probabilities: P(s1 | I), P(s2 | I), and P(s3 | I ).