Assume 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. Does it appear that the length-of-stay data follow a normal distribution? Justify your answer briefly.
b. if a sample of 3.5 patients is selected, what is the probability that their mean length of stay is less than 2 days?
c.if a sample of 3.5 patients is selected, what is the probability that their mean length of stay is more than 5 days?