3) Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes. If we assume the runner’s times are normally distributed, answer the following: a) What is the...

3) Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes. If
we assume the runner’s times are normally distributed, answer the following:
a) What is the probability that the finishing time of a single randomly selected runner is within 5 minutes
of the population mean?
b) What is the probability that the sample mean finishing time of 9 runners is within 5 minutes of the
population mean?