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) 0.59, and P(S3) - 0.23. With sample information I, PCI | S1) = 0.13, P(I | S2) - 0.07, and P(IS3) - 0.18. Compute the revised or posterior
probabilities: P(S1 | 1), P(S211), and P(531). If required, round your answers to four decimal places.
State of Nature
P (Sj11)
S1
S2
S3
Total Probability