A toll tunnel has decided to experiment with the use of a debit card for the collections of tolls. Initially, only one lane will be used cars are estimated to arrive at this experimental lane at the rate of 750 per hour, following Poisson distribution. It will take exactly (constant) four seconds to verify the debit card.
a. what average number of cars can be expected in line?
b. how many cars can be expected in the system?
c. what is the average amount of time a car can expect to spend in line?
d. on average, how much time will a car spend in the system, including waiting time?