9 (10 points). There are 9 marbles on a table. One randomly splits them into two piles and picks the pile that has MORE

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9 10 Points There Are 9 Marbles On A Table One Randomly Splits Them Into Two Piles And Picks The Pile That Has More 1 (28.56 KiB) Viewed 28 times

9 (10 points). There are 9 marbles on a table. One randomly splits them into two piles and picks the pile that has MORE marbles. Let y be the number of marbles in this pile. Then he randomly splits the pile he just picked into two piles, and randomly pick one pile (with equal chance). Let X be the number of marbles in this pile. a) (2 points). Find the joint PMF of X and Y. b) (3 points). Find the marginal PMF of X. c) (3 points). Use the PMF of X to calculate EX. d) (2 points). Calculate EX by exploiting X = Y. (X/Y).