Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities are P(S1) = 0.20, P(S2) = 0.50, and P(S3) = 0.30. With sample information I, P(I | S1) = 0.10, 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. And also what is the total probability?