Answer Happy

Burrito King (a new fast-food franchise opening up nationwide)
has successfully automated burrito production for its drive-up
fast-food establishments. The Burro-Master 9000 requires a constant
40 seconds to produce a batch of burritos. It has been estimated
that customers will arrive at the drive-up window according to a
Poisson distribution at an average of one every 45 seconds. To help
determine the amount of space needed for the line at the drive-up
window, answer the following questions.

a. What is the average waiting line length
(in cars)? (Do not round intermediate
calculations. Round your answer to 2 decimal
places.)
b. What is the average number of cars in
the system (both in line and at the
window)? (Do not round intermediate
calculations. Round your answer to 2 decimal
places.)
c. What is the expected average time in
the system, in minutes? (Do not round intermediate
calculations. Round your answer to 2 decimal
places.)