In the following profit payoff table for a decis problem with two states of nature and three alternatives, the prior probabilities for s1 and P(81) = .8 and P(82) = .2. Excel File: data20-15.xls State...

Extracted text: In the following profit payoff table for a decis problem with two states of nature and three alternatives, the prior probabilities for s1 and P(81) = .8 and P(82) = .2. Excel File: data20-15.xls State of Nature Decision Alternative $2 d, dz dz 15 10 12 20 10 a. What is the optimal decision? - Select your answer - b. Find the EVPI. c. Suppose that sample information I is obta with P(I|81) = .20 and P(I|82) = .75. Find the posterior probabilities P(81|1) and P(s; decimals). P(81|I) = P(82\I) =