An outdoor restaurant in a resort town closes when it rains. From past records it was found

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An outdoor restaurant in a resort town closes when it rains. From past records it was found that from May to September, when it rains one day the probability that it rains the next is 0.4; when it does not rain one day it rains the next with probability 0.1.

(a) Write the transition matrix.

(b) If it rained on Thursday what is the probability that it will rain on Saturday? On Sunday?

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