Suppose you have two independent random variables X ~ Exponential(A1) and Y Exponential(A2), d1 > 0, X2 > 0. Find: (a) The joint density function for (X,Y). (b) P (주> 1). (c) P(X +Y > 1).

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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Suppose you have two independent random variables X ~
Y ~ Exponential(A2), A1 > 0, d2 > 0. Find:
Exponential(A1) and
(a)
The joint density function for (X,Y).
(b)
P( > 1).
(c)
P(X +Y > 1).
Transcribed Image Text:Suppose you have two independent random variables X ~ Y ~ Exponential(A2), A1 > 0, d2 > 0. Find: Exponential(A1) and (a) The joint density function for (X,Y). (b) P( > 1). (c) P(X +Y > 1).
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