A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive according to an Poisson distribution with a mean rate of 700 vehicles per hour. It will take exactly five seconds to verify the debit card.
How much time would you expect the traveler to wait in line, pay with the debit card, and leave?
How many cars would you expect to see in the system?