Question: A service counter employs two servers. On average a server requires 8 minutes to process a customer and service times follow an exponential distribution. Customers
A service counter employs two servers. On average a server requires 8 minutes to process a customer and service times follow an exponential distribution. Customers arrive at the counter at the rate of 12 per hour according to a Poisson distribution.
Determine the following.
M =
=
Service time =
=
/ =
a. On average, the total number of customers in the system
b. The average number of customers waiting to be served
c. The average amount of time, in minutes, spent in the system
d. The probability that an arriving customer must wait for service
e. The probability that two customers are waiting in line
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