Question: = = = = Suppose that you are given a decision situation with three possible states of nature: S1, S2, and sz. The prior probabilities

= = = = Suppose that you are given a decision

= = = = Suppose that you are given a decision situation with three possible states of nature: S1, S2, and sz. The prior probabilities are P(sq) = 0.3, P(-2) = 0.5, and P(53) = 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($111), P(szl!), and P(s3|). (Round your answers to four decimal places.) P($111) P(S211) P(311)

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