Two-dimensional random variables (X, Y) ~ f(x, y) = 1, 0

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Two-dimensional random variables
(X, Y) ~
[1, 0<x<1,0 <y < 2x
otherwise
f(x, y) =
»= {1,
fx(x)
(1)Find the marginal probability densities
(2) The probability density F: (z) of Z = 2X-Y
and fy (y)
of X and Y, respectively;
Transcribed Image Text:Two-dimensional random variables (X, Y) ~ [1, 0<x<1,0 <y < 2x otherwise f(x, y) = »= {1, fx(x) (1)Find the marginal probability densities (2) The probability density F: (z) of Z = 2X-Y and fy (y) of X and Y, respectively;
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f(x,y)= 1 ; 0< x<1, 0< y<2x 


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