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Please help! You are given the following table with income payoffs (in thousands of dollars). States of Nature Decision Alternative 90 190 60 310 490

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You are given the following table with income payoffs (in thousands of dollars). States of Nature Decision Alternative 90 190 60 310 490 Assume the following probability information is given. I, and I, are the outcomes of the sample information available. P(s ) = 0.4; P(1, 15,) = 0.9; P(12 [s,) = 0.1 P(s,) = 0.6; P(I, [ s,) = 0.3; P(12 |$2) = 0.7 (a) Find the values of P(I, ) and P(I2)- P(I) = P(L,) = (b) What are the values of P(s, | 1,). P(52 | Ij), P(s, | 12), and P(s, | 12)? (Round your answers to four decimal places.) P(s, ]) = P(s, 1 1) = P(s, 1 1) = (c) Use the decision tree to determine the optimal decision strategy. IF I, select -7- V. If I,, select ?- v. What is the expected value of this solution (in thousands of dollars)? (Round your answer to one decimal place.) thousand (d) Determine the expected value of sample information (in thousands of dollars). (Round your answer to one decimal place.) EVSI = $ thousand

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