Question: Let X and Y have the joint density uniform on the triangle with vertices (0, 0),(2, 0) and (3, 1). Find: (i) E(X|Y ) and

Let X and Y have the joint density uniform on the triangle with vertices (0, 0),(2, 0)

and (3, 1). Find: (i) E(X|Y ) and E(Y |X). (ii) Var(X|Y ) and Var(Y |X). (iii) The expectations and variances of X and Y using formulas (7.47) and (7.48).

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