(6e(-2x-3y) 0< x < ∞, 0 < y < ∞ otherwise f(x, y) = (a) Compute the probability density function of X, fx(x). (b) Compute the probability density function of Y, fy (y). (c) Are random variables X and Y independent?

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Q: a. Find E(X) b. Find E(Y) c. Find E(XY)

A: a.The joint probability density function is,

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