Let X and Y be random variables with joint probability density f(x, y) = { 6(1 - y), 0 ? x ? y ? 1. 0, elsewhere. a. Find P(X + Y > 1/2). b. Find the conditional density of X given Y, f(x|y). c. Find E(XY).
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This region is a triangle with vertices (0, 1), (1, 1), and (1, 2). So, we have: P(X + Y > 1) = \int_{0}^{1} \int_{x}^{1} (6x - 6y) dy dx Show more…
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