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2. (4 points) Suppose X and Y have a discrete joint distribution for which the pmf is defined as follows f(I, y) = Jex -

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2. (4 points) Suppose X and Y have a discrete joint distribution for which the pmf is defined as follows f(I, y) = Jex - yl for r = -1,0, 1 and y = -1,0, 1 otherwise (a) Find the value of c. (b) Find P(X + Y = 1). (c) Find P(Y = 0). (d) Find P(X = 1 | Y = 1)

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