Burrito king (a new fast-food franchise opening up nationwide) has successfully automated burito production for its drive-up fast-food establishments. the burro-master 9,000 requires a constant 45 seconds to produce a batch of burritos. it has been estimated that customers will arrive at the drive-up window according to a poisson amount of space needed for the line at the drive-up window distribution at an average of one every 50 seconds. to determine the amount of space needed for the line at the drive-up window.

a. what is the average waiting line length (in cars)? (do not round intermediate calculations. round your answor 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 a verage time in the system, in minutes? (do not round intermediato calculations. round your answer to 2 decimal places.)