Question: Toby’s Trucking Company determined that on an annual basis the distance traveled per truck is normally distributed with a mean of 50,000 miles and a standard deviation of 12,000 miles.

a. What proportion of trucks can be expected to travel between 34,000 and 50,000 miles in the year?

b. What is the probability that a randomly selected truck travels between 34,000 and 38,000 miles in the year?

c. What percentage of trucks can be expected to travel either below 30,000 and 60,000 miles in the year?

d. How many of the 1,000 trucks in the fleet are expected to travel between 30,000 and 60,000 miles in the year?

e. How many miles will be traveled by at least 80% of the trucks?