Suppose that you are given a decision situation with three possible states of nature:S1,S2, andS3. The prior probabilities areP(S1) = 0.20,P(S2) = 0.57, andP(S3) = 0.23. With sample informationI,P(I|S1) = 0.12,P(I|S2) = 0.04, andP(I|S3) = 0.20. Compute the revised or posterior probabilities:P(S1|I),P(S2|I), andP(S3|I). If required, round your answers to four decimal places.

State of Nature P(Sj|I)

S1 ___________

S2 ___________

S3 ___________

Total Probability __________