Question: In a community, there are N male and M female residents, N , M > 1000. Suppose that in a study, people are chosen at random and are asked questions concerning their opinion with regard to a specific issue. Let Xn = 1 if the nth person chosen is female, and Xn = 0 otherwise. Is {Xn : n = 1, 2,...} a Markov chain? Why or why not? 2. For a Markov chain {Xn : n = 0, 1,...} with state space {0, 1, 2,...} and transition probability matrix P = (pij ), let p be the probability mass function of X0; that is, p(i) = P (X0 = i), i = 0, 1, 2, . . . . Find the probability mass function of Xn.