Question: Consider a collection X1, X2, X3, . . . , Xn, . . . of independent random vari- ables each having a Poisson distribution with

Consider a collection X1, X2, X3, . . . , Xn, . . . of independent random vari- ables each having a Poisson distribution with parameter = 1. Let N denote the smallest index i such that X1 + X2 + . . . + Xi > 2. Find E[N]

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