Mathematics
compute the system state probabilities

Question Description

I don’t know how to handle this Mathematics question and need guidance.

Customers arrive at a two-chair shoeshine stand at the rate of 10 per hour. The average duration of a shoeshine is 6 minutes. There is only one attendant, so that one chair is used as a waiting position. Customers who find both chairs occupied go away.

a. assuming Poisson input and exponential service times, compute the system state probabilities.

b. find the mean number of customers served per hour.

c. repeat the analysis to calculate the mean number of customers served per hour when there are two attendants at the stand (and no waiting positions).


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Final Answer

Alex Z (997)
New York University

Anonymous
Return customer, been using sp for a good two years now.

Anonymous
Thanks as always for the good work!

Anonymous
Excellent job

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