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5. Let the random variable Zn have a Poisson distribution with parameter = n. Show that the limiting distribution of the random variable Y₂=(Z₂− n)/√n_is normal with mean zero and variance 1.

5. Let the random variable Zn have a Poisson distribution with parameter = n. Show that the limiting distribution of the random variable Y₂=(Z₂− n)/√n_is normal with mean zero and variance 1.

MATLAB: An Introduction with Applications
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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5. Let the random variable Z have a Poisson distribution with parameter µ=n. Show that the limiting distribution of the random variable Y₁ = (Z₁− n)/√n is n normal with mean zero and variance 1.
Transcribed Image Text:5. Let the random variable Z have a Poisson distribution with parameter µ=n. Show that the limiting distribution of the random variable Y₁ = (Z₁− n)/√n is n normal with mean zero and variance 1.
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