7. (10 points) Suppose {X(t); t 2 0} is a continuous-time Markov chain, having state space S = {1, 2,3} and transition rate matrix (generator) Q, given by 5 2 3 (1) Q 2 4 2 2 2 -4 Find the stationary distribution p of this CTMC.8. (10 points) Let {X(t); t 2 0} be the CTMC from the previous problem, having state space S = {1, 2,3} and transition rate matrix (generator) Q given by (1). Suppose X(0) = 1: find the expected amount of time it takes the chain to reach state 3