X and Y are discrete random variables with a joint density function as follow f(x, y) = 1) = {²+ ( x² + y) 0, (x² + y) x = 0,1,2; y = 0,1,2 Otherwise 1) Find the value of Cov[X, Y] 2) Find the value for both E(Y|X = 1) and E(X|Y = 2)

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X and Y are discrete random variables with a joint density function as follow
{ 2 1 (x² + y)
24
0,
f(x, y) =
1)
2)
(x² + y) x = 0,1,2; y = 0,1,2
Otherwise
Find the value of Cov[X, Y]
Find the value for both E(Y|X = 1) and E(X|Y = 2)
Transcribed Image Text:X and Y are discrete random variables with a joint density function as follow { 2 1 (x² + y) 24 0, f(x, y) = 1) 2) (x² + y) x = 0,1,2; y = 0,1,2 Otherwise Find the value of Cov[X, Y] Find the value for both E(Y|X = 1) and E(X|Y = 2)
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