X1 xnnbspis an iid sequence of exponential random variables


X1,..., Xn is an iid sequence of exponential random variables, each with expected value 5.

(a) What is Var[M9(X)], the variance of the sample mean based on nine trials?

(b) What is P[X1 > 7], the probability that one outcome exceeds 7?

(c) Estimate P[M9(X) > 7], the probability that the sample mean of nine trials exceeds 7?

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Basic Statistics: X1 xnnbspis an iid sequence of exponential random variables
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