Suppose that the joint probability density function of X and Y is fxy(x,y) = 300.125(x² – y²) e-7*, for 0

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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to find the value of A and B

Suppose that the joint probability density function of X and Y is
fxy(x,y) = 300.125(x² – y?) e-7*, for 0<x< and -x<y<x
0,
otherwise
Give your answers to the below questions in two decimal places where appropriate.
(a) The marginal probability density function of X is given by:
fx(x) = A x® eTX, for 0<x<c0
0,
otherwise
Transcribed Image Text:Suppose that the joint probability density function of X and Y is fxy(x,y) = 300.125(x² – y?) e-7*, for 0<x< and -x<y<x 0, otherwise Give your answers to the below questions in two decimal places where appropriate. (a) The marginal probability density function of X is given by: fx(x) = A x® eTX, for 0<x<c0 0, otherwise
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