Suppose that the weather in Charlotte is modeled using the Markov chain in Section 10.1, Exercise 27.
Question:
Suppose that the weather in Charlotte is modeled using the Markov chain in Section 10.1, Exercise 27. If it is sunny today, what is the probability that the weather will be cloudy before it is rainy?
Data From Section 10.1 Exercise 27
The weather in Charlotte, North Carolina, can be classified as sunny, cloudy, or rainy on a given day. Climate data from 2003 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.
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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