Let X1, X2, ..., X100 be independent exponential random variables with parameter = 0.25. The sample mean is given by X : (a) Find E(X) and Var(X). (b) State the sampling distribution of X. Explain why X has the sampling distribution that you stated. (c) Find P (X < 3.25). 40 (d) If n = 40, find >X; > 180 i=1

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