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Math · Statistics And Probability
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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[r, y, and then from pxy[x, y] determine, px[x]and pyy (c) (5 Pts.) Determine Cor(X,Y) and ρΧΥ. (d) (5 Pts.) Determine the joint CDF. Then, from the joint CDF obtain marginal CDFs. and then from pxy,yl determine, pxr] and py w Show the CDF values in a table with axis x and y.

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