Suppose the random vector (X,Y) is uniformly distributed on the interior of the triangle with vertices at (1,1),(-1,1), and (0,-2). (Note that the area of this triangle is three.) a. Find and carefully sketch the graph of the pdfof X. b. Find and carefully sketch the graph of the pdf of Y. c. Find E(Y|X=x). d. Find E(X|Y=y). e. Find Var(Y|X=x). f. Find Var(X|Y=y).

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