Answered: Let X1,X2,...,X4 be indepedent Poisson…

Let X1,X2,...,X4 be indepedent Poisson random variables with rates λ1,...,λ4, respectively. Show that X1 + X2 + X3 + X4 is a Poisson random variable with rate λ1 + λ2 + λ3 + λ4.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Aa.127.

Let X1,X2,...,X4 be indepedent Poisson random variables with rates λ1,...,λ4, respectively. Show that X1 + X2 + X3 + X4 is a Poisson random variable with rate λ1 + λ2 + λ3 + λ4.

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