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Two random variable X and Y have the joint PDF given by: J;(x³y+ 1) ,0

Two random variable X and Y have the joint PDF given by: J;(x³y+ 1) ,0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Fundamentals of Applied Probability and Random Processes

Question# 1: Two random variable X and Y have the joint PDF given by: Si (x³y+ 1) ,0 <x< 2, 0 < y < 1 ,0 <x< 2,0 < y<1 fxy(x, y) = { 4 ,otherwise a) What are the marginal PDFS of X and Y? b) Are X and Y independent? c) Find P[x < 1,y < 1]?
Transcribed Image Text:Question# 1: Two random variable X and Y have the joint PDF given by: Si (x³y+ 1) ,0 <x< 2, 0 < y < 1 ,0 <x< 2,0 < y<1 fxy(x, y) = { 4 ,otherwise a) What are the marginal PDFS of X and Y? b) Are X and Y independent? c) Find P[x < 1,y < 1]?
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