A a)Let X₁, X₂, X3,..., X30 be a random sample of size 30 from a population distributed with thefollowing probability density function:Sb)Suppose that Y = ΣX₁. Usei) the moment generating function technique to find the probability distribution function of Y.Write down the density function of Y.ii) the Central Limit Theorem to compute P(40 < Y < 80).iii) the Chebychev inequality to find the lower bound of P(40

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Answered: Suppose i) the moment generating…

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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Suppose i) the moment generating function technique to find the probability distribution Write down the density function of Y. ii) the Central Limit Theorem to compute P(40