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1 The following decision tree describes a decision problem involving survey information CI P 300 d1 T2 0.3 20 TI P 200 don't use survey

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1 The following decision tree describes a decision problem involving survey information CI P 300 d1 T2 0.3 20 TI P 200 don't use survey d2 T2 0.3 100 T1 0.4 300 T2 20 use survey T1 0.4 survey cost: -5 200 d2 100 b 82 1 9 300 T2 0.2 20 200 d2 T2 0.2 100 (a) Describe the specific probabilities that each variable a, b, p, q corresponds to, then deter- mine the value of each. (b) Solve the decision tree (using the EMV criterion, i.e. maximise the expected utility). (c) Determine the values of EMV (without the survey), EMV(survey), EVSI and ENGSI

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