Consider a binomial random variable with parameters n and p. We know that it has mean np and variance np(1 - p). Investigate how close is the Gaussian random variable with average value np and variance np(1 - p) to a binomial distribution. As a criterion determine how close is the integral of the Gaussian PDF from (-infinity to k] to the sum of the binomial PMF from 0 to k in the following cases • n=100 and p=0.1 • n=100 and p=0.01 • n=100 and p=0.001

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