The probabilities for the states of nature are P(s1) = 0.1947, P(s2) = 0.3141, and P(s3) = 0.4912. For a consulting fee of $5,000, an agency will review the plans for the comedy series and indicate the overall chances of a favorable streaming service reaction to the series. Assume that the agency review will result in a favorable (F) or an unfavorable (U) review and that the following probabilities are relevant. P(F) = 0.69 P(U) = 0.31 P(s1|F) = 0.08 P(s2|F) = 0.28 P(s3|F) = 0.64 P(s1|U) = 0.45 P(s2|U) = 0.39 P(s3|U) = 0.16