Please help with the below question:

[Application of Markov jump proces] In a particular company, the salary scale has only two different levels. On average. an employee spends 3 years at level 1 before moving on to the higher level. or leaving the company. Upon leaving level 1. the probability that an employee moves to level 2 is E'v. An employee at the maximum level spends an average of 12 years before leaving. Nobody is demoted. and promotion can occur at any time. (a) Explain how you could model this as a Markov jump process I = LY, : I E {J}. commenting on any assumptions that you make. Clearly state the state space S of X. Draw the state diagram of the Markov process. (b) Show that the intensity matrix of X is given by a 4:12 1312 e e s Q: 41.125 I11 ELDQS] (c) Find the probability of moving from salary level-l scale to level 2 in 1' periods of time by solving the Kolmogorov's forward equation: d' EH!) = Hag. (d) Find the expected time the level-l employee remains working at the company before hefshe leaves the job