Suppose that two continuous random variables X and Y have joint probability density fun fry = A( ex*y + e 2x-) 1sxs2,0sys3 elsewhere a. P(3/2

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Suppose that two continuous random variables X and Y have joint probability density function
fxy =
A( e x+y +e 2x -y)
1sxs2,0sys3
elsewhere
a. P( 3/2 <X<2, 1s Y<2)
b. Are the random variables X and Y independent?
c. find the conditional density X given Y = 0
Transcribed Image Text:Suppose that two continuous random variables X and Y have joint probability density function fxy = A( e x+y +e 2x -y) 1sxs2,0sys3 elsewhere a. P( 3/2 <X<2, 1s Y<2) b. Are the random variables X and Y independent? c. find the conditional density X given Y = 0
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