3.3.24. Let X1, X2 be two independent random variables having gamma distribu-tions with parameters a₁ = 3, B₁ = 3 and a2 = 5, B2 = 1, respectively.(a) Find the mgf of Y = 2X₁ +6X2.(b) What is the distribution of Y?

and denote independent random variables.Both have the gamma distribution with the following…

Answered: 3.3.24. Let X₁, X2 be two independent…

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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3.3.24. Let X₁, X2 be two independent random variables having gamma distribu- tions with parameters a₁ = 3, 3₁ = 3 and 02 = 5, 3₂= 1, respectively. (a) Find the mgf of Y = 2X₁ +6X₂. (b) What is the distribution of Y?