13.3 Suppose a semi-Markov process has two states S = {1, 2}. Assume that the distributions of times spent in each state are the cdfs of the following distributions:

F11(t) ∼ Uniform[0, 1]; F12(t) ∼ Uniform[0, 3];

F21(t) ∼ Uniform[1, 3]; F22(t) ∼ Uniform[0, 2].

Calculate the transition rates for this continuous-time process. Calculate the expected time spent in state 1 and state 2.