Question: Let (X,Y) be a uniformly distributed random point on the quadrilateral D with vertices (0,0),(2,0)(1,1) and (0,1). (a) Find the joint density function of (X,Y)

Let (X,Y) be a uniformly distributed random point on the quadrilateral D with vertices (0,0),(2,0)(1,1) and (0,1). (a) Find the joint density function of (X,Y) and the marginal density functions of X and Y. (b) Find E[X] and E[Y]. (c) Are X and Y independent?

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