Let X, and X2 be independent exponential distributions with the same parameter 2. What isthe joint distribution of Y, = X, + X2 and Y,X1-? What are the distributions of Y, andX1+X2Y2?

Given: X1 & X2 are independent random variables with pdfs f(x1)=λe-λx1; x1>0…

Answered: Let X, and X, be independent…

Let X, and X, be independent exponential distributions with the same parameter 1. What is the joint distribution of Y, = X, + X2 and Y, X1 ? What are the distributions of Y, and X1+X2 Y,?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 8CT

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Question

Let X, and X2 be independent exponential distributions with the same parameter 2. What is
the joint distribution of Y, = X, + X2 and Y,
X1
-? What are the distributions of Y, and
X1+X2
Y2?

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