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Question 4(Total Mark 20)A television network is attempting to decide during the summer which of the following three football games to televise on the Saturday following Thanksgiving Day: Alabama versus Auburn, Georgia versus Georgia Tech, or Army versus Navy. The estimated viewer ratings (millions of homes) for the games depend on the win-loss records of the six teams, as shown in the following payoff table:Number of Viewers (1,000,000s)GameBoth Teams HaveWinning RecordsOne Team Has WinningRecord;One Team HasBoth TeamsHave Losing1243567812148101812181720101528924
Number of Viewers (1,000,000s)Losing RecordRecordsAlabama vs. Auburn10.27.35.4Georgia vs. Georgia Tech126.96.36.199Army vs. Navy188.8.131.52)Find the decision in each of optimistic, pessimistic (conservative) and Min-max regret strategy.2)If the probabilities of the states of nature are: P (S1) (Both Teams Have Winning Records) = 0.25, P (S2) (One Team Has Winning Record and oneTeam Has Losing Record) = 0.40, P (S3) (Both Teams Have Losing Records) = 0.35, find the expected value of each decision and the expectedvalue without perfect information.3)Find the expected value with perfect information and expected value of perfect information.Question 5 (Total Mark 25)The Riverview Clinic has two general practitioners who see patients daily. An average of six patients arrives at the clinic per hour. Each doctor spends an average of 15 minutes with a patient. The patients wait in a waiting area until one of the two doctors is able to see them. However, because patients typically do not feel well when they come to the clinic, the doctors do not believe it is good practice to have a patient wait longer than an average of 15 minutes a.Find the operation characteristics for this system. (6 Marks)b.Will the current system meet the clinic service goal? (4 Marks)c.If the clinic is not meeting its service goal, it can add a third practitioner or reducethe service time per patient to 10 minutes. Which of these two solutions enables the clinic to meet its service goal? (6 Marks)