Suppose that you are given a decision situation with three possible states of nature: s11,s2 and s3 . The prior probabilities are P(s1)=0.3,P(s2)=0.2, and P(s3)=0.5. With sample information I, P(Is1) =0.1,P(Is2)=0.05, and P(Is3)=0.2. Compute the revised or posterior probabilities: P(s1I),P(s2I), and P(s3I). (Round your answers to four decimal places.) P(s1I)P(s2I)P(s3I).