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?
Transcribed Image Text: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.
Transcribed Image Text: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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