Question: Suppose that Z is a binary variable with P(Z = 1) = p. Show that cov (Y, Z) = {E[YIZ = 1] - E[YIZ =

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Suppose that Z is a binary variable with P(Z = 1) = p. Show that cov (Y, Z) = {E[YIZ = 1] - E[YIZ = 0]}p(1 - p)
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