A bowl contains three different kinds of chocolate Lindor balls: 8 milk chocolate balls, 10 dark chocolate balls, and 7 mint-avored chocolate balls. A guest chooses two chocolate balls from the bowl at random. Let X be the number of milk chocolate balls chosen, and let Y be the number of dark chocolate balls chosen. (a) {4 points) Display the joint distribution table for X and Y. (b) (3 points) Find the marginal distributions of X and Y. (c) (3 points) Are X and Y independent? Explain your answer intu- itively and with a calculation