Question: Answer with full steps please Q5 (16 marks) Consider random variables X and Y with the following information: The pmf of X is: fx (x)

Answer with full steps please

Q5 (16 marks) Consider random variables X and Y with the following information: The pmf of X is: fx (x) = 1/5, x = 0, 1, 2, ..., 4. The conditional pmf of Y given X = x: fyIx=x (y) = 1/(5 - x), y = x, x + 1, . . ., 4. Find the joint pmf of X and Y, the marginal pmf of Y, and the conditional mean E(Y | X = 1)

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