17. If X is a Poisson variate with mean 1, show that theX-1standard Poisson variateis a variable withmean zero and variance unity. Find the momentgenerating function for this variable and show thatit approaches e as à→o. Also interpret theresult.

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Answered: If X is a Poisson variate with mean 1,…

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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If X is a Poisson variate with mean 1, show that the standard Poisson variate X-1 is a variable with X-2 mean zero and variance unity. Find the moment generating function for this variable and show that it approaches e2. as î→. Also interpret the result.