Suppose that two continuous random variables X and Y have joint probability density function fy = 1sxs2,0sys3 elsewhere a. P(3/2 sXs2, 1SYS2)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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5. Suppose that two continuous random variables X and Y have joint probability density function
fay =
A( ey
+ e 2-1)
1sxs2,0sys3
elsewhere
a. P(3/2 <Xs2,1sYS2)
b. Are the random variables X and Y independent?
c. find the conditional density X given Y = 0
d. Find the strength of the relationship and interpret the findings.
Transcribed Image Text:5. Suppose that two continuous random variables X and Y have joint probability density function fay = A( ey + e 2-1) 1sxs2,0sys3 elsewhere a. P(3/2 <Xs2,1sYS2) b. Are the random variables X and Y independent? c. find the conditional density X given Y = 0 d. Find the strength of the relationship and interpret the findings.
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