A section of highway is inspected annually for damage. Based upon specific measurements of frequency and depth of cracks and other such factors, the highway section can be classified as belonging to one of six "states of deterioration." The first state, A, refers to a new condition; the last state, F, refers to a condition requiring complete reconstruction. Damage is progressive, and eventual complete deterioration is certain. However the causes of deterioration relate to weather, traffic, and other random phenomena. Therefore, the lifetime of the highway is uncertain. Past experience suggests that the chances of deteriorating one grade between inspection is one in five, and the chances of deteriorating two grades is one in twenty. Answer the following questions. a. Provide a Markov chain model of the highway deterioration process, under the assumption that no repairs are made. b. Explain how to obtain the