Consider a continuous time Markov chain with three states 1,2,3. Suppose that v1 = 2, v2 = 3, v3= 5 and that the embedded Markov chain has transition matrix P = (0 1/4 3/4, 2/5 0 3/5, 1/3 2/3 0)
(a) Determine the long run distribution of this chain.
(b) Determine the mean first passage time from state 2 to state 3.