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Consider the joint pdf f(x, y) = 3(x^2+ y)/11 for 0 ≤ x ≤ 2, 0...

Consider the joint pdf
f(x, y) = 3(x^2+ y)/11

for 0 ≤ x ≤ 2, 0 ≤ y ≤ 1.

(a) Calculate E(X), E(Y ), E(X^2), E(Y^2), E(XY ), Var(X), Var(Y ), Cov(X, Y ).

(b) Find the best linear predictor of Y given X.

(c) Plot the CEF and BLP as a function of X.

Math   Statistics-And-Probability   
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