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QUESTION
Suppose X and Y are continuous random variables with joint pdf f(x, y) = 24xy if 0 lt; x, 0 lt; y, and x + y lt; 1, and zero otherwise. (a) Find...
Suppose X and Y are continuous random variables with joint pdf f(x, y) = 24xy if 0 < x, 0 < y, and x + y < 1, and zero otherwise.
(a) Find E(XY).
(b) Find the covariance of X and Y.
(c) Find the correlation coefficient of X and Y.
(d) Find Cov(3X, 5Y).
(e) Find Cov(X + 1, Y - 2).
(f) Find Cov(X + 1, 5Y - 2).
(g) Find Cov(3X + 5, X).
