The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specfically:if it is sunny on one day, it will be sunny the next day 3/5 of the time, and be cloudy the next day 1/5 of the timeif it is cloudy on one day, it will be sunny the next day 1/5 of the time, and be cloudy the next day 3/5 of the timeif it is rainy on one day, it will be sunny the next day 3/5 of the time, and be cloudy the next day 2/5 of the timeUsing 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system.Find the proportion of days that have each type of weather in the long run.(here's a sample of what the answer would look like) The correct answer is:P =251 35 10 101 11215-2251|21 210 5 5SunnyProportion of days that are CloudyRainy20-25||118

Detailed Explanation of the Markov ChainUnderstanding the Markov ChainA Markov chain is a…

Answered: The correct answer is: P = 25 1 3 5 10…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specfically:

if it is sunny on one day, it will be sunny the next day 3/5 of the time, and be cloudy the next day 1/5 of the time
if it is cloudy on one day, it will be sunny the next day 1/5 of the time, and be cloudy the next day 3/5 of the time
if it is rainy on one day, it will be sunny the next day 3/5 of the time, and be cloudy the next day 2/5 of the time

Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system.

Find the proportion of days that have each type of weather in the long run.

(here's a sample of what the answer would look like)