a)Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0,1)Σ1 Xiand Y=O√n.√niii) Show using the moment generating function technique that Y is a standard normal randomvariable.iv) What is the probability that Y2 is between 0.02 and 5.02?

Answered: a) Let X₁, X2, X3,..., X be a random…

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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a) Let X₁, X2, X3,..., X be a random sample of size n from population X. Suppose that X~N(0, 1) and Y= Σ=₁Xi-√√n. √n iii) Show using the moment generating function technique that Y is a standard normal random variable. iv) What is the probability that Y² is between 0.02 and 5.02?