Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day. Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.