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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e263ba7-a711-422d-bad5-862b58b3f690%2F88b6c3ef-ba69-4aba-bcf5-76b61573e282%2Ffgu5msq_processed.png&w=3840&q=75)
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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