The joint density of X and Y is given by f(x,v) = e Y for x>0, y>0 and f(x.y) = 0 otherwise. Find the marginal density of X alone. A g(x)=eY for y>0 and g(x)=0 for otherwise. g(x)=2x for x>0 and g(x)=0 for otherwise. g(x)=ex for x>0 and g(x)=0 for otherwise. g(x)=e for x>0 and g(x)=0 for otherwise. g(x)=ex-2 for x>0 and g(x)=0 for otherwise.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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The joint density of X and Y is given by
f(x,y) = e- for x>0, y>0
-X-y
and f(x,y) = 0 otherwise. Find the marginal density of X alone.
A
g(x)=e for y>0 and g(x)=0 for otherwise.
g(x)=2x for x>0
and g(x)=0 for otherwise.
g(x)=eX for x>0
and g(x)=0 for otherwise.
g(x)=ex for x>0
and g(x)=0 for otherwise.
g(x)=ex-2 for x>0
and g(x)=0 for otherwise.
B.
Transcribed Image Text:The joint density of X and Y is given by f(x,y) = e- for x>0, y>0 -X-y and f(x,y) = 0 otherwise. Find the marginal density of X alone. A g(x)=e for y>0 and g(x)=0 for otherwise. g(x)=2x for x>0 and g(x)=0 for otherwise. g(x)=eX for x>0 and g(x)=0 for otherwise. g(x)=ex for x>0 and g(x)=0 for otherwise. g(x)=ex-2 for x>0 and g(x)=0 for otherwise. B.
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