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Suppose that a particular large hotel has 790 rooms. Furthermore, suppose that for weekend nights the mean demand for rooms is 730 rooms with a

Suppose that a particular large hotel has 790 rooms. Furthermore, suppose that for weekend nights the mean demand for rooms is 730 rooms with a standard deviation of 35 rooms. What is the probability that over a sample of 35 weekend nights, the hotel will sell at least an average of 740 rooms over this sample? (please round your answer to 4 decimal places)

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