In an emergency medical clinic, patients arrive for treatment at the rate of 5 per hour and their inter-arrival times can be assumed to have an Erlang Ek distribution with k = 3. Assume that each...

In an emergency medical clinic, patients arrive for treatment at the rate of 5 per hour and their inter-arrival times can be assumed to have an Erlang Ek distribution with k = 3. Assume that each patient requires the services of the doctor for an amount of time that has an exponential distribution with mean 10 minutes. Determine the average time a patient has to spend in the clinic.