A service facility consists of 1 server who can serve an average of 2 customers per hour (service times are exponential). An average of 3 customers per hour arrive at the facility (interarrival times...

A service facility consists of 1 server who can serve an average of 2 customers per hour (service times are exponential). An average of 3 customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is 3 customers: 2 waiting and 1 being served.

a. On average, how many potential customers enter the system each hour?

b. What is the probability that the server is busy at a typical point in time?