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QUESLUIT AU PRIL Consider the following payoff table: DA: Decision Alternative. State of Nature Decision Alternative Good Bad

Bad DA: Decision Alternative. State of Nature Decision Alternative Good Probabilities 0.4 0.6 DA1 5.21 -3.22 DA2 -5.40 11.60

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Q16

Expected value of perfect information = Expected value with perfect information - Expected value without perfect information

Now,

Expected value with perfect information = Best alternative for each state of nature = 5*0.6 + 2*0.4 = 3.8

Expected value without perfect information = Best of weighted average = Max(5*0.6 - 3*0.4 , 3*0.6+ 2*0.4) = Max( 1.8, 2.6) = 2.6

Therefore, expected value of perfect information = 3.8-2.6 = 1.2 ANSWER

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