D. D2 Consider the following decision problem with two decisions and 3 states of nature. States of nature Alternatives S 9.2 S, 03 S -100 50 150 100 100 100 Probabilities of states of nature are P(5.) = 0.20, P(S2) = 0.30, P(S) = 0.50. For a fee of 5 an agency will review the situation and report whether conditions will be favorable (F) or unfavorable (U). The following probabilities are applicable. P(F) = 0.69 Pls./F) = 0.09 P(S./U) = 0.45 P(U) = 0.31 PIS/F) = 0.26 P/S2/U) = 0.39 P(53/F) = 0.65 P/S:/U) = 0.16 The decision maker is considering if he should accept the agency's offer and which alternative to choose. a) Construct a decision tree for this problem. b) What is the decision if the agency opinion is not used? c) What is the optimal strategy assuming the agency's information is used? d) What is the recommended strategy? -- D. D2 Consider the following decision problem with two decisions and 3 states of nature. States of nature Alternatives S 9.2 S, 03 S -100 50 150 100 100 100 Probabilities of states of nature are P(5.) = 0.20, P(S2) = 0.30, P(S) = 0.50. For a fee of 5 an agency will review the situation and report whether conditions will be favorable (F) or unfavorable (U). The following probabilities are applicable. P(F) = 0.69 Pls./F) = 0.09 P(S./U) = 0.45 P(U) = 0.31 PIS/F) = 0.26 P/S2/U) = 0.39 P(53/F) = 0.65 P/S:/U) = 0.16 The decision maker is considering if he should accept the agency's offer and which alternative to choose. a) Construct a decision tree for this problem. b) What is the decision if the agency opinion is not used? c) What is the optimal strategy assuming the agency's information is used? d) What is the recommended strategy