Question: Problem 4. Marginal Probability. (10 pts) Let S be a set of{0,1,2, ...,9}. A number X is selected from S with equal probability, then a

Problem 4. Marginal Probability.(10 pts)

Let S be a set of{0,1,2, ...,9}. A number X is selected from S with equal probability, then a number Y is selected from S with equal probability having X removed, then again a number Z is selected from S with equal probability having X and Y removed.

a)Obtain joint PMF of X, Y, and Z.
b)Determine all marginal PMFs of X, Y, and Z. (Hint: start with possible values of X,
Y, and Z)

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