Question: Problem 9 Suppose that the joint density function of the random variables X and Y is given by (2y+ry2) for 0 < x <

Problem 9 Suppose that the joint density function of the random variables X and Y is given by (2y+ry2) for 0 < x < 2:0 y 1 elsewhere a) Compute P(X+Y < 1). (Sketch the support of the density, region of integration etc. clearly). b) Find the marginal densities of X and Y and decide whether X and Y are independent or not.

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