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please answer the attached problem 5. (9 pt) Suppose Y; , Y2 , ..., Y; constitute a random sample from an exponential distribution with parameter

please answer the attached problem

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5. (9 pt) Suppose Y; , Y2 , ..., Y; constitute a random sample from an exponential distribution with parameter , ,6 > 0. a. (5) Consider 5' = 5 Y" as an estimator for . Is n an unbiased estimator for ? Why or why not? Find the bias of 5 as an estimator for if it is not unbiased. Find the MSE of as an estimator for . b. (4) Can you use Theorem 9.1 or Week Law of Large Numbers to determine if 3 = 5 Y\" is a consistent estimator for ,6 ? Explain

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