Question: Question 1: Commuters from Raleigh choose one of two ways to commute to NCCU by automobile: the I-40 Interstate or Route 54. The Interstate is a bit shorter and generally fast, but traffic conditions vary considerably. Route 54 is longer and generally a little slower, but there is little variability in traffic. Assume that the time to commute on the Interstate is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes and that the time to drive by Route 54 is also normally distributed with a mean of 35 minutes and a standard deviation of 2 minutes.

(a) You live in Raleigh, and you are in a rush to get to Durham so you won’t be late for your GEOG 4110 class. You like to have at least an hour to get to Durham, but today you procrastinated, drinking one cup of coffee too many (having stayed up all night studying), and you have to get to Durham in 40 minutes or less. Which route should you take? (Calculate the actual probability of arriving on time for each route.)

(b) You have a job interview in Durham and you want to be 99 percent certain that you will arrive in time. How much time should you allow if you plan to take Route 54? How much time should you allow if you plan to take the Interstate?

(c) Travel times are actually unlikely to be distributed normally. Why?