Please answer the probabilities (s1,s2, s3) and the sum based on the given information below. Thank you.

Problem 13-23 (Algorithmic) Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities are P(S1) = 0.18, P(S2) = 0.62 and P(S3) = 0.20. With sample information I, P(I | S1) = 0.12, P(I | S2) = 0.06 and P(I | S3) = 0.22. 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. State of Nature P(Sj 1) S1 S2 S3 Sum