Response to the following problem:
Mr. Chips manufactures automated vending machines that can prepare a single order of french fries in exactly 45 seconds. The company has placed one of its machines in the student union building of a local community college, where it believes customers will arrive according to a Poisson process at the mean rate of 40 per hour.
Determine the average amount of time an arriving customer will have to wait before ordering french fries from the vending machine.