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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 28E
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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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