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Suppose that the joint probability density function of X and Y is fxy(x,y) = 2(x² - y?) e-2x, for 0

Suppose that the joint probability density function of X and Y is fxy(x,y) = 2(x² - y?) e-2x, for 0

Calculus For The Life Sciences
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
Section13.1: Continuous Probability Models
Problem 28E
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Find the value of C , D and E
(b) The conditional probability density function of Y, given that X=x for some x>0, takes the following form: fyx=x(y) = C (x²-y²) xº e Ex, for -x<y<x 0, otherwise.
Transcribed Image Text:(b) The conditional probability density function of Y, given that X=x for some x>0, takes the following form: fyx=x(y) = C (x²-y²) xº e Ex, for -x<y<x 0, otherwise.
Suppose that the joint probability density function of X and Y is fx,y(x,y) = 2(x² - y²) e-2*, for 0<x<c and -x<y<x 0, otherwise Give your answers to the below questions in two decimal places where appropriate.
Transcribed Image Text:Suppose that the joint probability density function of X and Y is fx,y(x,y) = 2(x² - y²) e-2*, for 0<x<c and -x<y<x 0, otherwise Give your answers to the below questions in two decimal places where appropriate.
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