Let X₁, X₂ be two independent random variables having Gamma distributions with parametersα₁ = 3, B₁ = 3 and a2 = 4, ß2₂ = 1, respectively. What is the distribution of Z = 2X₁ +6X₂?Derive a formula to represent the quantile of Z with the quantile of a x² distribution.

To find the distribution of the random variable Z = 2X1 + 6X2, where X1 and X2 are independent…

Answered: Let X₁, X₂ be two independent 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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Let X₁, X₂ be two independent random variables having Gamma distributions with parameters α₁ = 3, B₁ = 3 and a₂ = 4, ß2 = 1, respectively. What is the distribution of Z = 2X₁ +6X₂? Derive a formula to represent the quantile of Z with the quantile of a x² distribution.