e joint PDF of two jointly continuous random variables X and Y is S c(x? + y?) for 0 < x < 1 and 0 < y< 1, fx,x (x, y) = otherwise. Compute the marginal PDFS of X and Y, and show that c= 3/2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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The joint PDF of two jointly continuous random variables X and Y is
c(x? + y?) for 0 <x <1 and 0 < y < 1,
fx,x(x, y)
otherwise.
Compute the marginal PDFS of X and Y, and show that c = 3/2.
Transcribed Image Text:The joint PDF of two jointly continuous random variables X and Y is c(x? + y?) for 0 <x <1 and 0 < y < 1, fx,x(x, y) otherwise. Compute the marginal PDFS of X and Y, and show that c = 3/2.
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