Please answer 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…

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Please answer question 2.

1. Find the density of Y = 1- e-AX when X ~
Exp(X). Note that the density of X is
de-dz
if 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 the
distribution of Y? Please note that the density of X is as stated in the previous problem.

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