Suppose that the weather in Charlotte is modeled using the Markov chain in Section 10.1, Exercise 23. About how many days elapse in Charlotte between rainy days?
23. The weather in Charlotte, North Carolina, can be classified as sunny, cloudy, or rainy on a given day. Climate data from 20032 reveal that
• If a day is sunny, then the next day will be sunny with probability .65, cloudy with probability .1, and rainy with probability .25.
• If a day is cloudy, then the next day will be sunny with probability .25, cloudy with probability .25, and rainy with probability .5.
• If a day is rainy, then the next day will be sunny with probability .25, cloudy with probability .15, and rainy with probability .60.
Suppose it is cloudy on Monday. Use a Markov chain to find the probabilities of the different kinds of weather on Friday.
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Linear Algebra and Its Applications (5th Edition)
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