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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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Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution.
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