a)Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)and Y =Xi=1X₁-0√n.iii) Show using the moment generating function technique that Y is a standard normal randomvariable.

It is given that X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Answered: iii) Show using the moment generating…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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iii) Show using the moment generating function technique that Y is a standard normal random variable.