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 P(S_1) = 0.22, P(S_2) = 0.59, and P(S_3) = 0.19. With sample information I, P(I|S_1) = 0.15, P(I|S_2) = 0.04, and P(I|S_3) = 0.22. Compute the revised or posterior probabilities: P(S_1|I), P(S_2|I), and P(S_3|I). If required, round your answers to four decimal places