A small popular restaurant at an interstate truck stop provides priority service to truckers. The restaurant has ten tables where customers may be seated. The service time averages 40 minutes once a party is seated. The customer arrival rate is 12 parties per hour, with the parties being equally divided between truckers and non-truckers.
On average, how many parties of truckers are waiting to be seated?
A) 0.27.
B) 0.52.
C) 0.88.
D) 1.36.
E) 1.75.

Question

Quizplus · Accepted Answer

The average number of parties waiting to be seated is equal to the arrival rate multiplied by the average service time. In this case, the arrival rate is 12 parties per hour, and the average service time is 40 minutes, or 2/3 of an hour. Therefore, the average number of parties waiting to be seated is 12 * 2/3 = 8. Since half of the parties are truckers, the average number of parties of truckers waiting to be seated is 8/2 = 4.

A Small Popular Restaurant at an Interstate Truck Stop Provides