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,

Suppose that you are given a decision situation with three possible states of nature: s1, s2 and s3. The prior probabilities are P(s1) ¼ 0.2, P(s2) ¼ 0.5 and P(s3) ¼ 0.3. With sample information I, P(I|s1) ¼ 0.1, P(I|s2) ¼ 0.05 and P(I|s3) ¼ 0.2. Calculate the revised or posterior probabilities: P(s1|I), P(s2|I), and P(s3|I).