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Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with...

  1. Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with 0 < y < 1 − |x|. Show that Cov(X, Y ) = 0 even though X and Y are dependent. Note: For this problem, you only need to show that the covariance is zero. You need not show that X and Y are dependent.

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