Question # 3

Delta Computers operates a technical support center for its customers. If customers have installation and/or use problems with Delta Computers products, they may telephone the technical support center and obtain free consultation. Currently, Ocala operates its support center with one consultant. If the consultant is busy when a new customer call arrives, the customer hears a recorded message stating to hold and consultant will provide assistance as soon as possible. The customer calls follow a Poisson probability distribution with a mean arrival rate of 4 calls per hour. On average, it takes 6 minutes for consultant to answer a customers questions. The service time follows an exponential probability distribution. a) What is the mean service rate in terms of customers per hour? b) What is the probability that no customers are in the system? c) What is the average number of customers waits for consultant? d)What is the average time a customer waits for a consultant? e) What is the probability that a customer will have to wait for a consultant?