Question: Baltimore Trucking Company determined that, on an annual basis, the distance traveled per truck is normally distributed with a mean of 50 thousand miles and a population standard deviation of 15 thousand miles. If a sample of 25 trucks is selected,

(a) What is the probability that the average distance traveled is less than 48 thousand miles?

(b) What is the probability that the average distance traveled is more than 52 thousand miles?

(c) What is the probability that the average distance traveled is between 48 thousand miles and 52 thousand miles?

(d) Do we need the Central Limit Theorem to solve (a) and (b)? Why or why not? Explain.