Please solve the following Markov Chain question:

(e) (5 points): What is the State-1 sojourn-time probability-mass function, and its associ- ated parameters? (State this completely and clearly).1. (25 total points): Here are P, P2, and P3. In answering the following questions you do not have to provide a numerical answer; it will be suicient to show an expression with all of the numbers in the right places, so that only simple arithmetic needs to be completed. 0.4 0.1 0.5 0.24 0.2 0.56 0.212 0.250 0.532 P: 0.3 0.6 0.1 , P2: 031 0.41 0.28 , P3: 0.275 0.333 0.392 0.1 0.2 0.7 0.17 0.27 0.56 0.205 0.291 0.504