Question: 1. Let Z be some random variable taking values in Z+ = {0, 1,...} with a finite mean. Let X1, X2, ... be i.i.d. Assume

1. Let Z be some random variable taking values in Z+ = {0, 1,...} with a finite mean. Let X1, X2, ... be i.i.d. Assume that Z, X1, X2, ... are independent. Let Y = _ _ X; (if Z = 0 then Y = 0). Express E[Y] in terms of E[Z ] and E[X1]

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