An airline reservation system has a computer which may break down on any given day with probability 0.3. There is a repair facility which always takes two days to restore a computer to normal. (a) Model this system as a discrete time Markov chain. (b) What is the long run probability that the computer is operational? (c) Now assume that the airline company has two of the computers mentioned in Problem #2. Assume that the computers are operating independently of each other and the repair facility can only deal with one computer at a time. Thus, if both computers are broken, the repair process of one cannot begin until the other one becomes operational. Model this system as a discrete time Markov chain. An airline reservation system has a computer which may break down on any given day with probability 0.3. There is a repair facility which always takes two days to restore a computer to normal. (a) Model this system as a discrete time Markov chain. (b) What is the long run probability that the computer is operational? (c) Now assume that the airline company has two of the computers mentioned in Problem #2. Assume that the computers are operating independently of each other and the repair facility can only deal with one computer at a time. Thus, if both computers are broken, the repair process of one cannot begin until the other one becomes operational. Model this system as a discrete time Markov chain