Poisson approximation of the binomial: Suppose X Binom(n, p). Write an R function compare(n,p,k) that computes

Question:

Poisson approximation of the binomial: Suppose X ∼ Binom(n, p). Write an R function compare(n,p,k) that computes (exactly) P(X = k) − P(Y = k), where Y ∼ Pois(np). Try your function on numbers where you expect the Poisson probability to be a good approximation of the binomial. Also try it on numbers where you expect the approximation to be poor.

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