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

Suppose that you are given a decision situation with three possible states of nature:s1,s2, ands3. The prior probabilities areP(s1)=0.2,P(s2)=0.5,andP(s3)=0.3.With sample informationI,P(I|s1)=0.16,P(I|s2)=0.05,andP(I|s3)=0.2.Compute the revised (or posterior) probabilities:P(s1|I),P(s2|I),andP(s3|I).Round your answers to three decimal places.

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