Discuss the following:
Q: An executive at Westinghouse drives from his home in the suburbs near Pittsburgh to his office in the center of the city. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes.
a. In what percent of the days will it take him less than 30 minutes to drive to work?
b. In what percent of the days will it take more than 40 minutes to drive to work?
c. Some days there will be accidents, etc., so the trip will take longer than usual. How long will the longest 10 percent of the trips take?