A physician's office has two x-ray machines, with the second intended as a backup. At the end of each day, the machine in use will be found to require maintenance with probability p. The only technician in town will take two days to get a machine in working order, and can only work on one machine at a time. a. Dene a state space, and construct a transition matrix for this system. b. For the remainder of this problem, use p='/2. What is the stationary distribution? c. What proportion of days are no machines operable? d. What state is this system in most often? e. The repairtechnician charges $200 per day spent working on a machine. What is the average daily income of the repair technician? Assume no other clients