The time between arrivals at a drive-through window of a fast-food restaurant follows the distribution given below. The service time distribution is also given in the table below

Use the random numbers provided to simulate the activity of the first five arrivals. Assume that the window opens at 11:00 a.m. and the first arrival after this is based on the first interarrival time generated.

Time Between
Arrivals Probability Service Time Probability
1 0.2 1 0.3
2 0.3 2 0.5
3 0.3 3 0.2
4 0.2

Random numbers for arrivals: 14, 74, 27, 03
Random numbers for service times: 88, 32, 36, 24

What times does the fourth customer leave the system?

Time Between
Arrivals Prob. Interval of
Random #s Service Time Prob. Interval of
Random #s
1 0.2 01-20 1 0.3 01-30
2 0.3 21-50 2 0.5 31-80
3 0.3 51-80 3 0.2 81-00
4 0.2 81-00

First arrival (RN=14 ) at 11:01. Service time 3 (RN=88 ). Leaves at 11:04.
Second arrival (RN=74 ) at 11:04 (3 minutes after 1st). Service time = 2 (RN=32 ). Leaves at 11:06.
Third arrival (RN=27 ) at 11:06. Service time = 2 (RN=36 ). Leaves at 11:08.
Fourth arrival (RN=03 ) at 11:07. Must wait 1 minute for service to start. Service time = 1 minute (RN=24 ). Leaves at 11:09.