Consider a continuous-time Markov chain with a state space {1, 2, 3} with λ1 = 2, λ2 = 3, λ3 = 4 The underlying discrete transition probabilities are given by
P = [
0 0.5 0.5
2/3 0 1/3
0.5 0.5 0
]
(a) Find the generator matrix.
(b) Find the stationary distribution of this CTMC.