Let the joint density function of random variables (X, Y) be f(x, y) = -2x-3y (Ae ²x-³y, x>0, y>0 0, otherwise (1) Find the constant A; (2) Find the joint cumulative function of (X, Y);| (3) Calculate the following probabilities P(X + Y < 2), P(X > Y), P(X > 2Y]\X> Y) (4) Are X and Y independent?

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