[8 points] Two fair, six-sided die are rolled. Compute the probability that the sum of theoutcomes of the two rolls is:(a) (3 pt) Equal to 1(b) (3 pt) Equal to 4(c) (2 pt) Less than 132. [15 points] Suppose that X,Y are discrete random variables with joint probability(a) (3 pt)

| August 14, 2017

[8 points] Two fair, six-sided die are rolled. Compute the probability that the sum of theoutcomes of the two rolls is:(a) (3 pt) Equal to 1(b) (3 pt) Equal to 4(c) (2 pt) Less than 132. [15 points] Suppose that X,Y are discrete random variables with joint probability(a) (3 pt) Compute the conditional distributions p(X|Y = y) for all possible values of y.(b) (2 pt) Compute the conditional distributions p(Y|X = x) for all possible values of x.(c) (3 pt) Compute E[X|Y = y] for all …

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