Question 6.384

39. Hospital Patient Length of Stays. The Agency for Healthcare Research and Quality reported that the mean length of patient hospital stays in 2012 was 4.9 days. Assume that the distribution of patient length of stays is normal, with a standard deviation of 1 day.

  1. Find the probability that a randomly selected patient has a length of stay of greater than 7 days.
  2. What proportion of patient lengths of stay are between 3 and 5 days?
  3. Find the 50th percentile of patient lengths of stay. What is the relationship between the mean and the median for normal distributions?
  4. A particular patient had a length of stay of 8 days. Determine whether this is unusual.

6.5.39

(a) 0.0179 (b) 0.5111 (c) 4.9 days; (d) Yes;