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
Posted: Wed May 11, 2022 6:25 am
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 pſy|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.