Probabilities with possible states of nature: s1, s2, and s3. suppose that you are given a decision situation with three possible state of nature: s1, s2, and s3.
the prior probabilities are p(s1) =.1, p(s2) = .6, and p(s3) = .3.
with sample information i, p(i|s1) =.15, p(i|s2) = .2, and p(i|s3) = .1.
compute p(s1|i)
compute p(s2|i)
compute p(s3|i)