Q10 Suppose we perform an experiment in which a pair of strangers find an amount of money on the ground. Suppose X" and Y are continuous random variables that model the portion of the money (0 =none, while 1 = all) that each person keeps. Any money not kept is turned into the authorities. Suppose the joint density function of X and Y is fx.y (x, y) = 24xy if r 2 0,y 2 0, and r ty $ 1 otherwise e In a few sentences, interpret what this density function says about which outcomes are likely and which are not. Feel free to include any comments on human nature that you need to get off your chest. b Set up an integral (or integrals) that computes the probability that each person takes at most twice as much as the other. Do not evaluate