Answer only Question 2 1. Find the density of Y = 1- e-AX when X ~Exp(X). Note that the density of X isde-dzif x > 0,f(x) :otherwise.What is the name of the distribution of Y? 2. Find the mgf of the random variable Y = e-AX when X ~ Exp(A). What is the name of thedistribution of Y? Please note that the density of X is as stated in the previous problem.

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Answered: 2. Find the mgf of the random variable…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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2. Find the mgf of the random variable Y = e-AX when X ~ Exp(A). What is the name of the distribution of Y? Please note that the density of X is as stated in the previous problem.