function fx,y given by Suppose that X and Y have a joint probability density ce-2(x+y) fxy(x, y) = if x > 0 and y> 0 otherwise Show that fx,y is a valid probability density function if and only if c = 4.

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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function fx.y given by
Suppose that X and Y have a joint probability density
[ce-2(x+y)
- {*
fx,y (x, y) =
if x > 0 and y> 0
otherwise
Show that fx,y is a valid probability density function if and only if c = 4.
Transcribed Image Text:function fx.y given by Suppose that X and Y have a joint probability density [ce-2(x+y) - {* fx,y (x, y) = if x > 0 and y> 0 otherwise Show that fx,y is a valid probability density function if and only if c = 4.
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