Question: (10 marks) (b) Consider two random variables X and Y which both take the values 0, 3 and 6. The joint probabilities for each pair

(10 marks) (b) Consider two random variables X and Y which both take the values 0, 3 and 6. The joint probabilities for each pair are given by the following table: XOX 3 X 6 0 0.12 0.08 0.20 3 0.10 0.06 0.14 6 0.08 0.06 0.16 i. Calculate P(Y = 3 X > 2). (4 marks) ii. Define U = X and V = JY -3). Calculate the covariance of U and V. (6 marks)

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