Revisit Exercise 8.13. Find V[X|Y = 0] and V[X|Y = 1]. Find a general expression for V[X|Y]

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Revisit Exercise 8.13. Find V[X|Y = 0] and V[X|Y = 1]. Find a general expression for V[X|Y] as a function of Y.


Data from Exercise 8.13

Let P(X = 0, Y = 0) = 0.1, P(X = 0, Y = 1) = 0.2, P(X = 1, Y = 0) = 0.3, and P(X = 1, Y = 1) = 0.4. Show that

E[X\Y] = 12

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