In: Math
1.14 Let Xn be a Markov chain on state space {1,2,3,4,5} with transition matrix
P=
0 | 1/2 | 1/2 | 0 | 0 |
0 | 0 | 0 | 1/5 | 4/5 |
0 | 0 | 0 | 2/5 | 3/5 |
1 | 0 | 0 | 0 | 0 |
1/2 | 0 | 0 | 0 | 1/2 |
(a) Is this chain irreducible? Is it aperiodic?
(b) Find the stationary probability vector.