Question: Let X1, X2, ..., Xn be a random sample from a Poisson distribution with mean 1. Thus, Y = = X; has a Poisson distribution

Let X1, X2, ..., Xn be a random sample from a Poisson distribution with mean 1. Thus, Y = = X; has a Poisson distribution with mean n1. Moreover, by the Central limit Theorem, X = Y has, approximately, a Normal (1, 1) distribution for large n. Show that for large values of n, the distribution of 2Vn ( VK - VA) is independent of 1. YOUR ANSWER HERE

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