Answer to Question #84513 in Statistics and Probability for Ra

Question

There are two reservation counters for all ticket booking for customers, who arrive in a Poisson fashion at an average rate of 10 per hour. The service time for booking clerks at both the counters are exponentially distributed with mean of 5 minutes. These countrrs remain open for 12 hours per day.
i) Find the hours of the day for which all the clerks are busy.
ii) Find the expected waiting time of customers in the queue.