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4. A question for interview. Let X1, X2, ... be a sequence of independent uniform (0,1) random variables. Let Sn = X1 + ... +

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4. A question for interview. Let X1, X2, ... be a sequence of independent uniform (0,1) random variables. Let Sn = X1 + ... + Xn be the partial sums. We consider T = min {n 2 1: Sn > 1} the first time at which the partial sum exceeds 1. (a) What is ET ? (b) What is EST

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