4.2 ) Define a random variable X by the following procedure. Draw a card from a standard deck of playing cards. If the card is knave, queen, or king, then X = 11. If the card is an ace, then X = 1; otherwise, X is the number of the card (i.e. two through ten). Now define a second random variable Y by the following procedure. When you evaluate X, you look at the color of the card. If the card is red, then Y = X - 1; otherwise, Y = X + 1. 110 4 Random Variables and Expectations (a) What is P({X Y})? (d) What is the probability distribution of Y - X? (e) What is P({Y 2 12)