In: Statistics and Probability
A student with an eight o'clock class at a university commutes to school by car. She has discovered that along each of two possible routes her traveling time to school (including the time to get to class) is approximately a normal random variable. If she uses the highway for most of her trip,μ=22 minutes and σ=5 minutes. If she drives a longer route over city streets, μ=26 minutes and σ=33 minutes. Which route should the student take if she leaves home at 7:30 A.M.? (Assume that the best route is one that minimizes the probability of being late to class.)