Question: Let f(x, y) = 2, 0 < x < y, 0 < y < 1, zero elsewhere, be the joint pdf of X and Y

Let f(x, y) = 2, 0 < x < y, 0 < y < 1, zero elsewhere, be the joint pdf of X and Y . Show that the conditional means are, respectively, (1+x)/2, 0 < x < 1, and y/2, 0 < y < 1. Show that the correlation coefficient of X and Y is ρ = 1/2.

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