answer all questions with explanation

7. Suppose (X (t),t 2 0) is a continuous-time Markov chain with state space S = {1,2,3,4} and transition rates q(i,j) = 1/2 for a]1i,j e S with :7 9E 35. Suppose that X(0) = 2. Let J1: min{t : X(t) 75 2}. (3) Calculate P(J1 S 2). (b) Calculate P(X(J1) = 3)