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Show transcribed image text 6. (30 points) Suppose (X, Y) is uniformly distributed over a triangle with corners at (0,0), (1,0), and (0,1). Compute (a) the marginal p.d.f. of X, (b) EIXY, and (c) Pr(Z 13) vhere Z = X + Y.
6. (30 points) Suppose (X, Y) is uniformly distributed over a triangle with corners at (0,0), (1,0), and (0,1). Compute (a) the marginal p.d.f. of X, (b) EIXY, and (c) Pr(Z 13) vhere Z = X + Y.
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