The time it takes a bank teller to serve a customer is uniformly distributed between 2 and 6 minutes. A customer has just stepped up to the window, and you are next in line.
a. What is the expected time you will wait before it is your turn to be served?
b. What is the probability that you wait less than 1 minute before being served?
c. What is the probability that you wait between 3 and 5 minutes before being served?