Question: 1.* 4. Let Xn have the binomial distribution with parameter en, PI!), and suppose that n Pn -+ J.... > 0. Prove that Xn converges

1.* 4. Let Xn have the binomial distribution with parameter en, PI!), and suppose that n Pn -+ J.... > 0. Prove that Xn converges in dist. to the Poisson d.f.

WIth parameter X. (In the old days thIS was called the law of small numbers.)

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