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# By using (Markov Chains) linear algebra. I am looking for some helps in solving question number (2) only, step by step. The stochastic matrix is:

By using (Markov Chains) linear algebra. I am looking for some helps in solving question number (2) only, step by step.

The stochastic matrix is:

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The weather in Columbus is either good. indifferent, or bad on any given day.
If the weather is good today, there is a (iii???) chance the weather will he good
tomorrow1 a Eﬂ‘ili chance the weather will be indifferent, and a lﬂgii chance the weather will be bad. If the weather is indifferent today, it will he good
tomorrow with probability All} and indiﬁerent with probabilityr .30. Finally1
if the weather is bad today, it will he good tomorrow with probability .4ﬂ
and indiﬁerent with probability .EU'. 1. What is the stochastic matrix for this situation? 2. Suppose there is a 5ﬂ% chance of good weather today and a 50% chance
of indiﬂ'erent weather. What are the chances of bad weather tomorrow? 3. Suppose the predicted weather for Monday is 40% indifferent weather and EG% bad weather. What are the chances for good weather on
Wednesday?

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