Suppose that two continuous random variables X and Y have joint probability densi fry = A(exy +e 2x-) 1sxs2,0sys3 elsewhere a. P(3/2 sXs 2, 1s Ys 2) b. Are the random variables X and Y independent? c. find the conditional density X given Y = 0

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5. Suppose that two continuous random variables X and Y have joint probability density function
A( e
+ e 2x -)
1sxs2,0sys3
ㅇ
elsewhere
a. P( 3/2 sXs2, 1 SYS2)
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 A( e + e 2x -) 1sxs2,0sys3 ㅇ elsewhere a. P( 3/2 sXs2, 1 SYS2) 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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