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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. Determine Pxya, y), and then from pxy,y] determine, pxl] and py ly (c) (5 Pts.) Determine Cov(X, Y) and pxy (d) (5 Pts.) Determine the joint CDF. Then, from the joint CDF obtain marginal CDFs Show the CDF values in a table with axis a and y.

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.

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