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Suppose that you are given a decision situation with three possible states of nature: SSSPSPSPSIPISPISPISPSIPSIPSI 1, 2, and 3. The prior probabilities are (1) = 0.22, (2) = 0.59, and (3) = 0.19. With sample information , ( | 1) = 0.15, ( | 2) = 0.04, and ( | 3) = 0.22. Compute the revised or posterior probabilities: (1 | ), (2 | ), and (3 | ). If required, round your answers to four decimal places.
State of Nature P (Sj|I)
S1 fill in the blank 1
S2 fill in the blank 2
S3 fill in the blank 3
fill in the blank 4
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