2. A Markov chain {Xn, n = 0, 1, 2, ...} takes values 1, 2, 3, 4,5 with the following tran- sition matrix O O 1 0 DOO OOOOO 0 0 0.6 0 0.4 0.6 OO 0.1 0.2 0.7 (a) Find all the communicating classes of the Markov chain. (b) Find all the recurrent states and transient states of the Markov chain