Note:-• Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.• Answer completely.• You will get up vote for sure. 5.4-23. Let X be N(0,1). Use the mgf technique to showthat Y = X² is x2(1). HINT: Evaluate the integral repre-senting E(e¹x²) by writing w=x√//1-2t.

X~N(0,1) Then using mgf we have to prove that Y=x2 follows chi square distribution with 1 degree of…

Answered: 5.4-23. Let X be N(0,1). Use the mgf…

5.4-23. Let X be N(0,1). Use the mgf technique to show that Y = X² is x2(1). HINT: Evaluate the integral repre- senting E(e¹x²) by writing w=x√//1-2t.

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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Note:- • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. • Answer completely. • You will get up vote for sure.

5.4-23. Let X be N(0,1). Use the mgf technique to show
that Y = X² is x2(1). HINT: Evaluate the integral repre-
senting E(e¹x²) by writing w=x√//1-2t.

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Step 1: For proving mgf of Y=x^2 follows chi square distribution we have

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Step 2: Proving the mgf of y=x^2

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Step 3: Calculation for mgf of y=x^2

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