The day-to-day changes in weather for a certain part of the country form a Markov process. Each day is sunny, cloudy, or rainy. • If it is sunny one day, there is a 70% chance that it will be sunny the following day, a 20% chance it will be cloudy, and a 10% chance of rain. • If it is cloudy one day, there is a 30% chance it will be sunny the following day, a 50% chance it will be cloudy, and a 20% chance of rain. • If it rains one day, there is a 60% chance that it will be sunny the following day, a 20% chance that it will be cloudy and a 20% chance of rain.

The day-to-day changes in weather for a certain part of the country form a Markov process. Each day is sunny, cloudy, or rainy. • If it is sunny one day, there is a 70% chance that it will be sunny the following day, a 20% chance it will be cloudy, and a 10% chance of rain. • If it is cloudy one day, there is a 30% chance it will be sunny the following day, a 50% chance it will be cloudy, and a 20% chance of rain. • If it rains one day, there is a 60% chance that it will be sunny the following day, a 20% chance that it will be cloudy and a 20% chance of rain.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 9EQ

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