Question: 3. Suppose X1, X2, . . . ,Xn are i.i.d. exponential random variables with pdf given by Ae-M if 3: > 0, fXUB) ={ 0

3. Suppose X1, X2, . . . ,Xn are i.i.d. exponential random variables with pdf given by Ae-M if 3: > 0, fXUB) ={ 0 otherwise. We are interested in estimating the parameter A using a number of methods. (a) What is the method of moment estimator imam of X? (b) What is the maximum likelihood estimator Xmas. of X? (c) Suppose the following 71 = 5 samples was generated from a exponential distribution with parameter A as described in this question: 1.3 2 3.1 4 5.2 Compute Xmom and 31mm. ((1) Suppose that n > 1. Is 3mm an unbiased estimator of X? Why

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