Consider X1,X2,...,Xn independent Poisson random variables
Chapter 17, Problem 17.1(choose chapter or problem)
Consider X1,X2,...,Xn independent Poisson random variables with parameters 1,2,...,n. Use the properties of moment-generating functions to show that the random variable n i=1 Xi is a Poisson random variable with mean n i=1 i and variance n i=1 i.
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