The correct answer is: P = 25 1 3 5 10 10 1 1 1215 -225 1|2 1 2 10 5 5 Sunny Proportion of days that are Cloudy Rainy 20-25 || 1 18
The correct answer is: P = 25 1 3 5 10 10 1 1 1215 -225 1|2 1 2 10 5 5 Sunny Proportion of days that are Cloudy Rainy 20-25 || 1 18
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter27: Metric Units Of Linear Measure
Section: Chapter Questions
Problem 3A
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 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)
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