On average 20 patients enter the clinic per hour. The process at clinic is as follows. The patients first see a front desk staff member who asks them if they want to be assigned to either a nurse or a doctor. On average there are 5 patients at the front desk waiting. On average 50% of the patients choose to be assigned to a nurse.

If assigned to a nurse the total time that the patient spends in the system from that point forward (including wait) is on average 15 minutes. If assigned to a doctor, then the patients wait until an intern takes their vitals before seeing the doctor. On average there are 15 patients that are waiting to be seen or being served by the interns and there are 5 patients waiting to be seen or being served by the doctors.

What is the average of minutes that the patients spend waiting at the front desk?

What is the average of patients waiting or being served by a nurse?

What is the average of patients waiting or being served by Doctors?

What is the average of patients waiting or being served by interns?

What is the average time that an average patient spends in the clinic? How many patients are on average in the clinic?