Question: Let X and Y be jointly distributed discrete random variables. Their joint probability distribution is given in the following table: (a) Calculate the marginal probability

Let X and Y be jointly distributed discrete random variables. Their joint probability distribution is given in the following table:

(a) Calculate the marginal probability distribution of X.

(b) Calculate the marginal probability distribution of Y .

(c) Are X and Y independent random variables? Explain why or why not.

(d) Calculate the conditional probability P(X = 3|Y = 1).

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