Problem 5: A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X be the number of luxury cars sold in a given day, and let Y be the number of extended warranties sold on that day. The joint probability function of X and Y can be given by the following equation. % 3 (x: y)=(0,0),(1,1),(2,2) 1 pxyCIJ) = E i 0': LV)= (1,0),(2,0) ;: (x. y)=(2,1) 0 : elsewhere