# Standard Deviation

The average length of stay in a chronic disease hospital for a certain type of patient is 60 days with a standard deviation of 15. Suppose it is reasonable to assume an approximately normal distribution of lengths of stay.

a. What percentage of patients stay less than 50 days?

b. Fill in the blanks. The probability is 0.9534 that a patient will stay between

____________ and ____________ days.

(Hint: to start, find two z-scores equidistant from the center such that the area between them is 0.9534)

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#### Solution Summary

The average length of stay in a chronic disease hospital for a certain type of patient is 60 days with a standard deviation of 15. Suppose it is reasonable to assume an approximately normal distribution of lengths of stay.

a. What percentage of patients stay less than 50 days?

b. Fill in the blanks. The probability is 0.9534 that a patient will stay between

____________ and ____________ days.

(Hint: to start, find two z-scores equidistant from the center such that the area between them is 0.9534)