(Chess games) Garry and Anish decide to play 10 chess games. Garry wins 4, they draw 4, and Anish wins 2. We decide to model the games probabilistically, assuming that they are independent and in each game Garry has a probability 0 of winning and Anish has a probability a of winning. (a) Plot the log-likelihood function of the parametric model. (b) What is the maximum likelihood estimate of 0 and a? (c) Model the data as realizations from a discrete random variable and compute its empirical pmf. Compare this nonparametric model to the parametric model from the previous questions.