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(Solved): An outdoor restaurant in a summer resort closes only on rainy days. From past records, it is found ...

An outdoor restaurant in a summer resort closes only on rainy days. 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 0.4 ; when it does not rain one day, the probability of rain for the next day is 0.07 . (A) Draw a transition diagram. (B) Write the transition matrix. (C) If it rains on Thursday, what is the probability the restaurant will be closed on Saturday? On Sunday? (Type integers or decimals. Do not include the

`%`

symbol in your answer.) (B) Write the transition matrix, P. Let A be the state in which it rains.

`A`

`A^(')`

```A,A^(') [[0.4,0.6,0.93]] 0.07=P```

(Type an integer or a decimal for each matrix element.) (C) If it rains on Thursday, the probability of the restaurant being closed on Saturday is 0.202 . (Type an integer or a decimal.) If it rains on Thursday, the probability of the restaurant being closed on Sunday is (Type an integer or a decimal.) Textbook

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