Given the joint pdf f X,Y (x, y) = 2x + y 2xy, 0 < x <1,

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Given the joint pdf fX,Y (x, y) = 2x + y −2xy, 0 < x <1, 0< y <1, find numbers a, b, c, and d such that

P(a < X < b, c < Y < d) = P(a < X < b) · P(c < Y < d)

thus demonstrating that X and Y are not independent.

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