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A​ quick-service restaurant has a single​ drive-through lane with one worker at the window. It is...

A​ quick-service restaurant has a single​ drive-through lane with one worker at the window. It is assumed that the worker can process an order every 3 minutes on average and that the processing​ (service) times are exponentially distributed. Customers arrive at the​ drive-through at the rate of 15 per hour.

a. The worker at the​ drive-thru is busy ????? of time. ​(Enter your response rounded to two decimal​ places.)

b. The average number of cars waiting at the​ drive-thru is ???? ​(Enter your response rounded to two decimal​ places.)

c. The number of​ cars, on​ average, in the​ drive-thru system is

????? ​(Enter your response rounded to two decimal​ places.)

d. The average time a car spends waiting in the​ drive-thru is

???? ​minute(s). ​(Enter your response rounded to one decimal​place.)

e. The​ time, on​ average, spent in the​ drive-thru system is

?????? minute(s). ​(Enter your response rounded to one decimal​place.)

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