Suppose that the weather in Charlotte is modeled using the Markov chain in Section 10.1, Exercise 28.

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Suppose that the weather in Charlotte is modeled using the Markov chain in Section 10.1, Exercise 28. Over the course of a year, about how many days in Charlotte are rainy according to the model?


Data From Section 10.1 Exercise 28

Suppose that whether it rains in Charlotte tomorrow depends on the weather conditions for today and yesterday. Climate data from 2003 show that


  • If it rained yesterday and today, then it will rain tomorrow with probability .58.
  • If it rained yesterday but not today, then it will rain tomorrow with probability .29.
  • If it rained today but not yesterday, then it will rain tomorrow with probability .47.
  • If it did not rain yesterday or today, then it will rain tomorrow with probability .31.
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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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