Let Zn be a Poisson random variable with parameter p = n. Let Y, = (Z, - n)/vn. Show that Yn converges in distribution to
Let Zn be a Poisson random variable with parameter p = n. Let Y, = (Z, - n)/vn. Show that Yn converges in distribution to a standard normal random variable Z ~ N(0, 1). Note that the mgf of Z, is m(t) = en(e-1) and the mof of Z is et /2
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