Asuburban specialty restaurant has developed a single drive-thru window. customers order, pay, and pick up their food at the same window. arrivals follow a poisson distribution, while service times follow an exponential distribution. if the average number of arrivals is 6 per hour and the service rate is 3 every 15 minutes:

a) what is the average number of customers in the system?

a. 0.50
b. 1.00
c. 2.25
d. 3.00
e. none of the above

b) what is the average number of customers waiting in line behind the person being served?

a. 0.50
b. 0.75
c. 2.25
d. 3.00
e. none of the above

c) what proportion of the time is the server busy?

a. 0.25
b. 0.50
c. 0.75
d. 2.25
e. 3.00

d) how much time will elapse (in hours) from the time a customer enters the line until he/she leaves the restaurant?

a. 0.50
b. 0.25
c. 0.17
d. 2.25
e. 3.00