Q2. (10 marks) The joint probability distribution of two discrete random variables X and Y is given by X 0 3 1 2/9 1/6 Y

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Q2. (10 marks) The joint probability distribution of two discrete random variables X and Y is given by X 0 3 1 2/9 1/6 Y

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Q2 10 Marks The Joint Probability Distribution Of Two Discrete Random Variables X And Y Is Given By X 0 3 1 2 9 1 6 Y 1
Q2 10 Marks The Joint Probability Distribution Of Two Discrete Random Variables X And Y Is Given By X 0 3 1 2 9 1 6 Y 1 (63.67 KiB) Viewed 37 times
Q2. (10 marks) The joint probability distribution of two discrete random variables X and Y is given by X 0 3 1 2/9 1/6 Y 2 1/9 1/6 3 2/9 1/9 (1) (4 marks) Find the conditional pmf ply|3), which is P(Y = y X = 3), y = 1,2,3. (2) (2 marks) Find the conditional expected value, E(Y|X = 3), using the result in (1). (2) (4 marks) Are X and Y independent? Justify your answer.
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