Exercise 4. (a) I play games of Monopoly against a computer. I play one game after another. Assume that my probability of winning each game is 3/5. I keep playing games until I have won a total of 3 games, then I stop. Let X represent the number of games that I play before stopping. (i) What is the probability distribution of X (briefly explain your answer, and also give the parameters in the distribution). (ii) What is the expected number of games that I will play to reach my 3rd victory? (b) Now suppose I play Monopoly against a friend. We also play a series of games until one of us wins 3 games. Explain, briefly, why you can not model the total number of games we play using the same type of probability distribution that you identified in (a)(i), even if you are allowed to assume different parameters.