Question: In a single phase single server service process where both interarrival time and service times are exponentially distributed, it can be assumed that the total

In a single phase single server service process where both interarrival time and service times are exponentially distributed, it can be assumed that the total time that a customer spends in the process is also exponentially distributed. Suppose the total time the customers spend in a pharmacy is exponentially distributed with mean of 4 minutes. The pharmacy has promised to fill all prescriptions in 9 minutes.

Question:

What is the probability of arrival of at most 3 customers in 12 minutes.

The potential answers are:

A: 94.73%

B: 67.67%

C: 64.72%

D: 62.88%

E: 91.61%

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