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An outdoor restaurant in a summer resort closes only on days that it rains. From past records it is found that from May through September, when it rains one day, the probability of rain for the next day is .6; when it does not rain one day, the probability of rain the next day is .1.

A. Draw a transition diagram.
B. Write the Transition Matrix.

C. If it rains on Thursday, what is the probability that the restaurant will be closed on Saturday? And on Sunday?

Solution Summary

This is a problem regarding probability and scheduling, including creating a transition diagram and matrix.