A toll tunnel has decided to experiment with the use of a credit card for the collection of tolls. Initially only one lane will be used. Cars are estimated to arrive at the experimental lane at the rate of 750 per hour. It will take exactly 4 seconds to verify the debit card.
a) How much time you would expect the customer to wait in line, pay with the credit card and leave?
b) How many cards would you expect to see in the system?
c) What is the probability that there is more than 10 cars in the waiting line at any time?