1. Consider the following transition probability matrix for a Markov chain on states {0, 1, 2, 3, 4, 5}. 0.8 0.2 0 0.5 0 0.5 0 0 0 0.3 0.4 0.3 0 0.1 0 0.9 0 0 0 0.2 0 0 0.8 0 0.7 0 0 0.3 0 0 (a) Draw a diagram of the chain that best reveals its structure. (b) State the communicating classes. (c) Identify the transient and recurrent states. Justify your answers