Question

Customers arrive as a box office window, being
manned by a single individual according to a
poisson input process with a mean rate of 30 per
hour. The time required to serve a customer has
an exponential distribution with a mean of 90
seconds. Find the average waiting time of a
customer. Also determine the average number of
customers in the system and average queue
length.

Answer 1

Answer:

Customers arrive as a box office window, being

manned by a single individual according to a

poisson input process with a mean rate of 30 per

hour. The time required to serve a customer has

an exponential distribution with a mean of 90

seconds. Find the average waiting time of a

customer. Also determine the average number of

customers in the system and average queue

length.