During the morning rush hour, commuter trains run every 20 minutes from the station near Quon’s home into the city center. He arrives (at random) at the station and finds no train at the platform. Assuming that the trains are running on schedule, use an appropriate uniform density function to find:

a. The probability Quon will have to wait at least 8 minutes for a train.

b. The probability Quon will have to wait between 2 and 5 minutes for a train.

c. The expected wait for rush hour commuters arriving at the station when no train is at the platform.