Question: 10. The amount of time that a customer spends waiting at an airport check in counter is a random variable with a mean of 8.2 minutes and a standard deviation of 1.5 minutes. Suppose that a random sample of n = 49 customers is observed.

Find the probability that the average time waiting in line for these customers is

(a) Less than 10 minutes

(b) Between 5 and 10 minutes

(c) Less than 6 minutes.