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

  1. Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities are P(S1) = 0.21, P(S2) = 0.48, and P(S3) = 0.31. With sample information I, P(I | S1) = 0.12, P(I | S2) = 0.05, and P(I | S3) = 0.20. 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.

State of Nature P (Sj|I) S1S2S3

Can you please help me find the states of nature and the way to solve the problem. I'm having a hard time with this.

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