4. Let X and Y be random variables. The density function of X is 1 | 24x²;0 < x <: 2 ; f (x) = - 0; elsewhere The conditional density of Y given X = x is y 5;0 < y < 2x g(y/x) ={2x? 0; elsewhere What is the form of the marginal density function of Y where it is nonzero?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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4. Let X and Y be random variables. The density function of X is
1
| 24x²;0 < x <:
2
;
f (x) = -
0; elsewhere
The conditional density of Y given X = x is
y
5;0 < y < 2x
g(y/x) ={2x?
0; elsewhere
What is the form of the marginal density function of Y where it is nonzero?
Transcribed Image Text:4. Let X and Y be random variables. The density function of X is 1 | 24x²;0 < x <: 2 ; f (x) = - 0; elsewhere The conditional density of Y given X = x is y 5;0 < y < 2x g(y/x) ={2x? 0; elsewhere What is the form of the marginal density function of Y where it is nonzero?
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