The inter-arrival time of customers to a service facility is exponentially distributed with an average arrival rate of 4 customers per hour. The service facility has a single employee that serves the customers. This person takes on average 10 minutes to serve one customer (assume this time is exponentially distributed).
What is the service rate?
What is the average number of customer in the system?
What is the average time spent by customers in the system?
What is the fraction of time that an employee is idle?