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Problem 1) Consider the data provided in Problem 1 of your Homework 1. Assume that the probability of State of Nature 1 is 0.30 (Prob(SNI)-0.30), the probability of State of Nature 2 is 0.45 (Rrok(SN2)-0.45), and the probability of State of Nature 3 is 0.25 Prob (SN3)-0.25). What decision is made and what is the corresponding payoff when using the expected value approach? Problem 2) Consider the data provided in Problem 2 of your Homework 1. Assume that the probability of State of Nature 1 is 0.40 (Prob(SNI)-0.40), the probability of State of Nature 2 is 0.25 (Probk(SN2)-0.25), and the probability of State of Nature 3 is 0.33 Prob(SN3) 0.35). What decision is made and what is the corresponding payoff when using the expected value approach? Problem 3) Consider the data provided in Problem 1 of your Homework 1. Assume that the probability of State of Nature 1 is 0.60 (Prob(SNI)-0.60), the probability of State of Nature 2 is 0.10 (Prob(SN2) 0.10), and the probability of State of Nature 3 is 0.30 Prob(SN3) - 0.30). What is the expected value of perfect information? Problem 4) Consider the data provided in Problem 2 of your Homework 1. Assume that the probability of State of Nature 1 is 0.10 (Prob(SNI)-0.10), the probability of State of Nature 2 is 0.40 (Prob(SN2) 0.40), and the probability of State of Nature 3 is 0.50 Crob(SN3)-0.s0). What is the expected value of perfect information?
States of Nature SN2: Decision SN1: SN3: (Size of Facility to Build) Good Market Fair Market Poor Market S3,150 D1: Small D2: Medium D3: Large D4: Very Large -$5,100 $4,200 -$4,600 S3,500 $3,600 $3,400 S3,450 $3,800 $3,000 $2,950 $3,550
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