Question: Suppose that you are given a decision situation with three possible states of nature: s 1 , s 2 , and s 3 . The

Suppose that you are given a decision situation with three possible states of nature: s1, s2, and s3. The prior probabilities are P(s1) = 0.3, P(s2) = 0.5, and P(s3) = 0.2. 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). (Round your answers to four decimal places.)

P(s1|I) _______________________

P(s2|I) _______________________

P(s3|I) _______________________

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