5. Keep-On-Trucking (KOT) is a national trucking company. The number of physical damage claims to KOT freight trucks in a given year is normally distributed with a mean of 220 and a standard deviation of 20. Based on these parameters, perform the following calculations. (note: use the Areas Under a Normal Curve table provided as part of the notes for Chapter 5)

a. What is the probability in a given year that fewer than 240 physical damage claims will occur? (1.5 points)

b. What is the probability in a given year that between 200 and 250 physical damage claims will occur? (1.5 points)

c. Above what number of physical damage claims do the highest 20 percent of all physical damage claims in a given year fall? (1 point)