A solar heating device can recharge (store heat) in a single sunny day enough to provide for the next two days. In other words, the only times that the solar heat must be augmented by some other heat source is when there are three or more consecutive cloudy days. During the heating season, a period of 120 days, the weather patterns are described by the following Markov chain: Using this information, answer the following questions: a. Construct another Markov chain which is capable of indicating when the solar heat must be augmented. (Hint: Think carefully about the state definition) b. If today is sunny, how long will it be until the heating system req