Markov chain with stationary transition probabilities

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Reference no: EM131829860

Suppose that the weather can be only sunny or cloudy, and that the weather conditions on successive mornings form a Markov chain with stationary transition probabilities. Suppose also that the transition matrix is as follows:

1513_stationary transition probabilities.png

(a) If it is cloudy on a given day, what is the probability that it will also be cloudy the next day?

(b) If it is sunny on a given day, what is the probability that it will be sunny on the next two days?

(c) If it is cloudy on a given day. what is the probability that it will be sunny on at least one of the next three days?

Reference no: EM131829860

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