Question

In: Statistics and Probability

During the early morning hours, customers arrive at a branch post office at an average rate...

During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each.

Fill in the following information:

Lq = Avg Number in Line

Wq = Avg Time in Line

Ws = Avg Time in System

For M = 7:

Lq = 0.028

Wq = 0.0006 Hours

Wq = 0.0373 Minutes

Ws = 4.0373 Minutes

For M = 6:

Lq =

Wq = Hours

Wq = 0.132 Minutes

Ws = Minutes

For M = 5:

Lq =

Wq = 0.00787 Hours

Wq = Minutes

Ws = 4.472 Minutes

For M = 4

Lq =

Wq = 0.03396 Hours

Wq = Minutes

Ws = Minutes

Format your answers as x.xxx

The minimum number of clerks needed to keep the average time in the system to under 5 minutes =

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Expert Solution

Answer:---                                                        Date:---22/07/2019

orchestra answered 2 years ago
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