1. Continuous random variables 0 ≤ x ≤ 2 and 0 ≤ Y ≤ 2 have joint probability density function 3x² + 4y fx.x(x, y) = 32 (a) Find and simplify a formula for the marginal density function fx(x). (b) Compute E(XY). (c) Compute P(Y> > 2x). Draw a picture of the full range and the event Y > 2X to help you understand this problem.

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