Question 1 (14 points) Consider the following Markov chain. 1/31 1 1/3 a 3 1 1 1/3 a) Is this chain irreducible? Compute the period of every state in the chain, is this chain aperiodic? b) Compute the stationary distributions of this process. c) Explain why the limit X limn- Xn converges for any choice of initial stage X. Compute the asymptotic distribution X. +00 Question 2 (14 noint)