Let X be a binomial random variable with parameters n and p

Let X be a binomial random variable with parameters n and p = a/n. Using probability generating functions, show that, with alpha and k fixed, as n - > infinity Pr[X = k] - > A text file containing 1000 characters is sent by email from one computer to another. t is known that each character (independently of all other characters) has probability 0.001 of being corrupted Use a Poisson random variable to estimate the probability that the file is transferred without error. Compare this estimate to the answer obtained when you model the number of errors as a binomial random variable

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