The joint distribution function of a bivariate random variable (X, Y) is given by 0 x < 0 y<0 0.2 0≤x≤a, 0≤y

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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The joint distribution function of a bivariate random variable (X, Y) is given by
0
x < 0
y<0
0.2
0≤x≤a,
0≤y<b
Fxy(x,y)
= {0.4
x ≥a,
0≤y<b
X,Y
0.8
0≤x<a,
y ≥b
1
x ≥a,
y≥b
Find the marginal distributions of X and Y.
Transcribed Image Text:The joint distribution function of a bivariate random variable (X, Y) is given by 0 x < 0 y<0 0.2 0≤x≤a, 0≤y<b Fxy(x,y) = {0.4 x ≥a, 0≤y<b X,Y 0.8 0≤x<a, y ≥b 1 x ≥a, y≥b Find the marginal distributions of X and Y.
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