Suppose that x and y are such that Show that x and y are uncorrelated but that

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Suppose that x and y are such that 

P(x = 0, y = 1) = P(x = 0, y =-1) = P(x = 1, y = 0) = P(x = -1, y =0) = 1.

Show that x and y are uncorrelated but that they are not independent.

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