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Suppose we measure length of hospital stay (in days) for patients undergoing a particular surgical procedure....

Suppose we measure length of hospital stay (in days) for patients undergoing a particular surgical procedure. The mean is 3 days with a standard deviation of 3.2 days.

(a) [10 points] If a sample of 35 patients is selected, what is the probability that their mean length of stay is less than 2 days? 


(b) [10 points] If a sample of 35 patients is selected, what is the probability that their mean length of stay is more than 5 days? 


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