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Let Xn, n 1, be a sequence of independent Poisson random variables, each with mean 5. Let N = min {n 3 : Xn2 =

Let Xn, n 1, be a sequence of independent Poisson random variables, each with mean 5. Let N = min {n 3 : Xn2 = 2, Xn1 = 1, Xn = 0} , i.e., N is the first time that the pattern 2, 1, 0 appears in the sequence. Find E[N]

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