Course Solutions Uncategorized (Answered) : In a drug store customers arrive at the counter (with one server per counter) in a Poisson process at the rate of 48 per hour. T

(Answered) : In a drug store customers arrive at the counter (with one server per counter) in a Poisson process at the rate of 48 per hour. T

In a drug store customers arrive at the counter (with one server per counter) in a Poisson process at the rate of 48 per hour. The service time can be assumed to be exponential with an average of 1 minute and the service is provided at a counter attended by a server. The number of counters is varied depending on the number of customers waiting or being served as follows:

0–4 customers 1 counter

5–9 customers 2 counters

10–14 customers 3 counters

15 or more 4 counters

Assume that this policy is used to increase or decrease the number of servers. Determine the following:

a. Probability

OR

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