# Question: question 1 20 points joint discrete random variables we roll...

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Question 1 (20 points, Joint Discrete Random Variables): We roll two dice, and define the random variables X and Y as below. X : The absolute difference between the rolls. Y : The minimum of the rolls. (a) (5 Pts.) Determine the outcomes, and then the values of the random variables. (b) (5 Pts.) Determine pXY [x, y], and then from pXY [x, y] determine, pX[x] and pY [y]. (c) (5 Pts.) Determine Cov(X, Y ) and ρXY . (d) (5 Pts.) Determine the joint CDF. Then, from the joint CDF obtain marginal CDFs. Show the CDF values in a table with axis x and y.