3. Simulate 10 sample paths of length 200 for the following DTF'S Markov chains using the update equation 7(t + 1) = 7(t).P: (all MC's start in state 1) 0 1 P1 = 1 0.75 0.25 P2 = 0.1 0.9 0.48 0.48 0.04 P3 = 0.22 0.7 0.08 0 0 1 Examine the last 75 samples of each sample path. Compare the ensemble and time averages for the 3 Markov chains. Based on these averages, which of the chains are ergodic