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1. Suppose x, and x, are two independent random variables cach with an exponential distribution; , (x, )= ; 20 : ,)=c; 1,20. Let Y,-X, +X, and Y, +X, A) Find the joint prohability density function fs,Gp3;) and the two marginals B) Are Y, and Y, also independent, justify your answer. C) Find the mean value and the variance for both random variables Y, and Y,.

1. Suppose x, and x, are two independent random variables cach with an exponential distribution; , (x, )= ; 20 : ,)=c; 1,20. Let Y,-X, +X, and Y, +X, A) Find the joint prohability density function fs,Gp3;) and the two marginals B) Are Y, and Y, also independent, justify your answer. C) Find the mean value and the variance for both random variables Y, and Y,.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Suppose x, and x, are two independent random variables each with an exponential distribution; , (x,)=e; x, 20 ; (x,)-e ; x,20. Let V, - X, + X, and Y, = X, +x, A) Find the joint prohahility density function fs, ,) and the two marginals B) Are Y, and Y, also independent, justify your answer. C) Find the mean value and the variance for both random variables Y, and Y,.
Transcribed Image Text:1. Suppose x, and x, are two independent random variables each with an exponential distribution; , (x,)=e; x, 20 ; (x,)-e ; x,20. Let V, - X, + X, and Y, = X, +x, A) Find the joint prohahility density function fs, ,) and the two marginals B) Are Y, and Y, also independent, justify your answer. C) Find the mean value and the variance for both random variables Y, and Y,.
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