In small town there are three different types of whether conditions: sunny day, rainy day, and windy day. A sunny day never happens two days in a row. If it is a sunny day, it is as likely to have a rainy day or windy day the next day. If it is a windy day or rainy day, it has an even chance of having the same conditions next day. For the other 50%, it is two times more likely to have a bad weather conditions than a sunny day.
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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.
From the given information, there are three different types of weather conditions: sunny day, rainy day and windy day.
A sunny day never happens two days in a row.
If it is a sunny day, it is as likely to have a rainy day or windy day the next day.
If it is a windy day or rainy day, it has an even chance of having the same conditions next day.
For the other 50%, it is two times more likely to have a bad weather conditions than a sunny day.
a.
The transition matrix is,
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