Problem 2 (20 points) A city is served by two newspapers the Tribune and the Daily News. Each Sunday readers purchase one of the newspapers at a stand. The following matrix contains the probabilities of a customer's buying a particular newspaper in a week, given the newspaper purchased in the previous Sunday: This Sunday Next Sunday Tribune Daily News Tribune .65 .35 Daily News .45 .55 Simulate a customer's purchase of newspapers for 20 weeks to determine the steady-state probabilities that a customer will buy each newspaper in the long run (the data from 20 weeks may not be enough to compute the steady-state probabilities, but just use this 20 weeks data for this homework problem). Let's assume that the reader starts from the Tribune in the first week (so we have 21 weeks in total). 1 0.97114867 0.314200506 0.809491227 0.425731564 0.034146658 0.493989527 0.217111558 0.426253029 0.311407479 0.288719335 0.562523461 0.940842576 0.257785887 0.368715126 0.107126941 0.272652154 0.518963984 0.45617232 0.751826191 0.790825571 (use this 20 Rand() data)