Suppose that two continuous random variables X and Y have joint probability density function fxy = A( ex+y + e2x+y) , 1 ≤ x ≤ 2 ,0≤ y≤3             0                            elsewhere a. P ( 3/2 ≤ X ≤ 2, 1 ≤ Y ≤ 2) b. Are the random variables X and Y independent? c. find the conditional density X given Y = 0

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Suppose that two continuous random variables X and Y have joint probability density function

fxy = A( ex+y + e2x+y) , 1 ≤ x ≤ 2 ,0≤ y≤3

            0                            elsewhere

a. P ( 3/2 ≤ X ≤ 2, 1 ≤ Y ≤ 2)

b. Are the random variables X and Y independent?

c. find the conditional density X given Y = 0

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