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please help, thanks in advance! Approximation of the Binomial PMF by Poisson PMF: This exercise will help you understand that the binomial and Poisson PMFs

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please help, thanks in advance!

Approximation of the Binomial PMF by Poisson PMF: This exercise will help you understand that the binomial and Poisson PMFs are related to each other under certain conditions. This relationship helps to explain why the Poisson PMF is used in various applications, primarily in traffic modelling. The relationship is as follows. For a binomial PMF, suppose we let M and p0 such that the product Mp is a constant. Then, the sequence of binomial distributions converges a Poisson distribution with parameter gives by Pr[k]=k!ke. Using Matlab plot the Binomial PMF for M=20,40,60 and Mp=3 and its approximation using Poisson PMF

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