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Let X1, . . . , Xn be a random sample of size n from a U(0, a) distribution, where a > 0. Find E(X1

Let X1, . . . , Xn be a random sample of size n from a U(0, a) distribution, where a > 0. Find E(X1 + X2 + + Xn). Also find the approximate distribution of the sample mean, if n is large.

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