If X and Y are two random variable with the joint probability density function give by : f(x, y) = { Se-(x+y) „x>0 ,y>0 otherwise Find the probability density function of the random variable U = - Y (a) by using the cumulative distribution function technique. (b)by usingchange of variables technique.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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If X and Y are two random variable with the joint probability
density function give by : f(x,y) = }"
Se-(x+y)
„x>0 ,y>0
otherwise
Find the probability density function of the random variable
U =-
Y
(a) by using the cumulative distribution function technique.
(b)by usingchange of variables technique.
Transcribed Image Text:If X and Y are two random variable with the joint probability density function give by : f(x,y) = }" Se-(x+y) „x>0 ,y>0 otherwise Find the probability density function of the random variable U =- Y (a) by using the cumulative distribution function technique. (b)by usingchange of variables technique.
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