Part II (20 points): Random variables X and Y have the joint PMF (c|x + yl Pxy(x, y) = 0 = x = -1,0,1 y = -2,0,2 otherwi

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Part Ii 20 Points Random Variables X And Y Have The Joint Pmf C X Yl Pxy X Y 0 X 1 0 1 Y 2 0 2 Otherwi 1 (42.58 KiB) Viewed 13 times

Part Ii 20 Points Random Variables X And Y Have The Joint Pmf C X Yl Pxy X Y 0 X 1 0 1 Y 2 0 2 Otherwi 2 (42.58 KiB) Viewed 13 times

Part II (20 points): Random variables X and Y have the joint PMF (c|x + yl Pxy(x, y) = 0 = x = -1,0,1 y = -2,0,2 otherwise = a. What is the value of the constant c? b. What is P [Y < X]? c. What is P [Y > X]? d. What is P [Y = X]? e. What is P [X < 1]? f. Find the marginal PMFs Px(x) and Py(y) g. Find the expected values E[X] and E[Y] h. Find the standard deviations Oy and Oy