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1) Complete the probability tables below using the following prior and conditional probabilities. High and Low represent states of nature while Favourable and Unfavourable are

1) Complete the probability tables below using the following prior and conditional probabilities.HighandLowrepresent states of nature whileFavourableandUnfavourableare the possible reports of sample information. Round final answers to 3 decimal places where necessary. Do not round intermediate results.

P(high)=0.7

P(favourable | high)=0.65

P(unfavourable | low)=0.15

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Favourable State Prior Conditional Joint Posterior High Low Total Unfavourable State Prior Conditional Joint Posterior High Low TotalGiven the following profit payoff table: 82 83 d1 80 100 240 d2 230 -80 210 d3 90 70 250 1. Construct an opportunity loss (regret) table by completing the following table. $1 82 83 d1 d2 d3 2. Given the probabilities of the states of nature are P(s1 ) = 0.1, P($2) = 0.1, and P(s3) = 0.8, calculate the minimum expected opportunity loss. Minimum EOL = 3. What is the best alternative based on expected opportunity loss? di d2 d3 OOO 4. What is the EVPI

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