Two-dimensional random variables (X, Y) ~ f(x, y) = 1, 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
Section13.3: Special Probability Density Functions
Problem 30E
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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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