3. Consider n independent observations X,...,X, of a Poisson random variable with param-eter A.(a) Use Chebyshev's inequality to evaluate the minimum number of observations neededto achievePIXn-시< 0.01) ~ 0.9,where Xn = -(b) Repeat the computations using the Central Limit Theorem.Note:Remember that the Poisson distribution is a discrete distribution with PMFfx(x; A) =e, where xE {0, 1,2,3,, and A>0x!and hence E(X) = 1, and Var(X) = 1.

(a) Use Chebyshev's inequality to evaluate the minimum number of observations needed to achieve P(Xn – A|< 0.01) 2 0.9, where Xn X1. %3D (b) Repeat the computations using the Central Limit Theorem. Note: Remember that the Poisson distribution is a discrete distribution with PMF fx(x; A) = "- · e, x! where xe (0, 1,2,3,), and A >0 %3D and hence E(X) = 1 , and Var(X) = A. %3D

(a) Use Chebyshev's inequality to evaluate the minimum number of observations needed to achieve P(Xn – A|< 0.01) 2 0.9, where Xn X1. %3D (b) Repeat the computations using the Central Limit Theorem. Note: Remember that the Poisson distribution is a discrete distribution with PMF fx(x; A) = "- · e, x! where xe (0, 1,2,3,), and A >0 %3D and hence E(X) = 1 , and Var(X) = A. %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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