1. Write a MATLAB function that returns the state transition matrix for the above two-bus, three-processors system given the bus failure rate (?₁), processor failure rate (?₂) and time interval (?t) as inputs.
2. Given ?₁= 210^-4failures/hr and ?₂= 110^-5failures/hr and ?t = 0.1 hr, generate a graph of the state probabilities as a function of time.
3. Compute the steady state probability vector.