Help with the statistics question below

1. Consider the Markov chain with three states, S={1,2,3), that has the following transition matrix: 0.6 0.3 0.1 P = 0.5 0.0 0.5 0.2 0.4 0.4 with initial distribution / = (0.7;0.2; 0.1) . 1) Plot state transition diagram of the Markov Chain; 2) Find the Markov transition matrix after 2 steps; 3) Find the Markov Chain distribution after two steps; 4) Find the Markov chain realization: P(1=E3 , 23=E1 , 84=E2, 67=EI). 5) Find the stationary distribution of the Markov Chain - (co)