What is the standard error of his prediction

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There are infinity people, they will deposit money into bank at time t which follows uniform distribution on [0,T]. Each of them has 1/T money, so at time T the bank will have total money of 1. If the manager of the bank predicts that at time t0, there is t0/T money deposited into the bank. What is the standard error of his prediction?

Reference no: EM13563307

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