EXERCISE 5.7. Let us consider a stochastic variable Y with three realizations, y(1), y(2), and y(3). Let us assume that the transition probabilities between these states are Q1,1(s) = Q2,2(s) = 23,3(s) = 0, Q1,2(s) = 22,3(5)=23,1(s) = cos (2s/3), and 21,3(s) = 22,1(s) = Q3,2(s) sin (2s/3). If initially the system is in the state y(1), what is the probability to find it in the state y(2) after I periods of the transition matrix?