1. The discrete random variables X and Y have known joint probability mass function [c x=0,1,2,L,9, y=0,1,2,L,9, yzx otherwise , where c = 1/55. 0 Pxy(x, y) given by Py(x, y) = Define the event B = {X² + y² ≤25}. a) Determine the conditional PMF P(x, y/B) of the random variables X and Y. b) Determine the conditional marginal PMFs P(x/B) and P(y/B) of the random variables X and Y. c) Determine the conditional correlation E{XY/B} of the random variables X and Y. (Take advantage of the solutions to Prob. 1 in Homework #8.)

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