Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed.
a) The average time a car is in the system =_______ minutes (roundyour response to two decimal places).
b) The average number of cars in the system = _________cars (round your response to two decimal places).
c) The average number of cars waiting to receive service = ___________ cars.
d)The average time a car is in the queue =_________ minutes.
e) The probability that there are no cars at the window (round your response to two decimal places).