Suppose that the weather can be only sunny or cloudy and
Chapter 3, Problem 2(choose chapter or problem)
Suppose that the weather can be only sunny or cloudy and the weather conditions on successive mornings form a Markov chain with stationary transition probabilities. Suppose also that the transition matrix is as follows: Sunny Cloudy Sunny 0.7 0.3 Cloudy 0.6 0.4 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?
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