Camera Department

Customers enter the camera department of a store at the average rate of six per hour. The

department is staffed by one employee, who takes an average of six minutes to serve each

customer. Assume this is a Poisson arrival, and exponentially distributed service time situation.

In addition, assume that customers, once entered the department, will not leave before the

service is finished.

1.On average, how many customers arrive at the department every hour; and how many

customers walk out of the department every hour?

2.On average, how much time does a customer spend waiting in the line?

3. Suppose that, as a manager, you check the system from time to time. How many people, on

average, would you expect to see waiting in the line?

4. Suppose that, as a manager, you check the system from time to time. How many people, on

average, would you expect to see in the camera department (excluding the employee)? Note

that the waiting line is inside the camera department.

5. What is probability that you, as a manager, walks in the department and see 3 customers

(either waiting or being serviced)?

6. To cut the average number of customers in the department to half, how much faster does the

employee have to work on each customer on average?