Suppose that in the scheme of Section 4.5.1, p n = /n (that is, we simplify the

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Suppose that in the scheme of Section 4.5.1, pn = λ/n (that is, we simplify the problem neglecting the remainder o(1/n) in (4.5.4)).

(a) Is E{Xn} equal to the mean of the limiting Poisson distribution?

(b) Is Var{Xn} equal to the variance of the limiting Poisson distribution? What happens when n→∞?

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