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 1/2 of the time, and be cloudy the next day 1/10 of the time if it is cloudy on one day, it will be sunny the next day 1/10 of the time, and be cloudy the next day 7/10 of the time if it is rainy on one day, it will be sunny the next day 2/5 of the time, and be cloudy the next day 1/5 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 P=000 1000 Sunny Proportion of days that are Cloudy - 0 Rainy 0
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 1/2 of the time, and be cloudy the next day 1/10 of the time if it is cloudy on one day, it will be sunny the next day 1/10 of the time, and be cloudy the next day 7/10 of the time if it is rainy on one day, it will be sunny the next day 2/5 of the time, and be cloudy the next day 1/5 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 P=000 1000 Sunny Proportion of days that are Cloudy - 0 Rainy 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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 1/2 of the time, and be cloudy the next day 1/10 of the time
if it is cloudy on one day, it will be sunny the next day 1/10 of the time, and be cloudy the next day 7/10 of the time
if it is rainy on one day, it will be sunny the next day 2/5 of the time, and be cloudy the next day 1/5 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
000
P=000
000
Sunny
Proportion of days that are Cloudy
Rainy
0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad75532-6e32-4e4d-98a4-01d29744a910%2F54d2b825-0e60-4612-b54b-18f20e8714ec%2Fdvs0d7l_processed.png&w=3840&q=75)
Transcribed Image Text: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 1/2 of the time, and be cloudy the next day 1/10 of the time
if it is cloudy on one day, it will be sunny the next day 1/10 of the time, and be cloudy the next day 7/10 of the time
if it is rainy on one day, it will be sunny the next day 2/5 of the time, and be cloudy the next day 1/5 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
000
P=000
000
Sunny
Proportion of days that are Cloudy
Rainy
0
0
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)