1. Let{X1, X2,...} be a sequence of nonnegative independent random variables and, for all i, suppose that...

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1. Let{X1, X2,...} be a sequence of nonnegative independent random variables and, for all i, suppose that the probability density function of Xi is f (x) = B 4x(1 − x) if 0 ≤ x ≤ 1 0 otherwise. Find lim n→∞ X1 + X2 + · · · + Xn n .

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