Let (X,Y) have the joint density function f(x,y) = { (6/5)(1+x+y) for 0 s x, y s 1, x+ys1 otherwise } (a) Find P [X>Y] (b) Find Fxy (X,y) (c) Find the marginals f(x) and f(y)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let (X,Y) have the joint density function
f(x,y) = { (6/5)(1+x+y)
for 0 < x, y < 1, x+y<1
otherwise }
(a) Find P [X>Y]
(b) Find Fxy (X,y)
(c) Find the marginals f(x) and f(y)
Transcribed Image Text:Let (X,Y) have the joint density function f(x,y) = { (6/5)(1+x+y) for 0 < x, y < 1, x+y<1 otherwise } (a) Find P [X>Y] (b) Find Fxy (X,y) (c) Find the marginals f(x) and f(y)
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