A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of three per minute.
Customers enter the camera department of a store at the average rate of six per hour. The department is staffed by two employees, who each take an average of six minutes to serve an arrival. Assume that this is a simple Poisson arrival, Exponential distributed service time situation.
What average number of customers can be expected in line?
How many customers can be expected in the department/system?
What is the average amount of time a customer can expect to spend in the department?
What is the probability of waiting?