Suppose X and Y have joint probability density function 1/2 if 0 < x < 1, 0 < y < 1, 1/3 if 1
Suppose X and Y have joint probability density function 1/2 if 0 < x < 1, 0 < y < 1, 1/3 if 1
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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Transcribed Image Text:Suppose X and Y have joint probability density function
1/2 if 0<x< 1, 0 <y< 1,
1/3 if 1<x<0, 0 <y< 1,
if -1 < x <0, -1<y<0,
if 0 < x < 1, −1 <y<0,
otherwise.
f(x, y) = 1/8
C
0
(a) Find the value of the constant C.
(b) Find the variance of X.
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