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I was given the following problem. Please help. The time between arrivals at a d

ID: 1195361 • Letter: I

Question

I was given the following problem. Please help. 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 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 in sequences: 14, 74, 27, 03

Random numbers for service times in sequences: 88, 32, 36, 24

What time does the fourth customer (RN = 03) leave the system?

Select one:

a. 11:10 a.m.

b. 11:09 a.m.

c. 11:11 a.m.

d. 11:07 a.m.

e. 11:08 a.m.

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

Explanation / Answer

Ans:

a. 11:10 a.m.

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