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
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