1. A hospital Emergency Room currently registers each patient first through an initial check-in process, where s/he is seen by a doctor at the check-in, and then exits the process, either with a prescription or with admission to the hospital. Currently, 50 people per hour arrive at the Emergency Room, 10 percent of who are admitted to the hospital. On average, 35 registered patients are waiting to see a doctor at any time during this process. The registration process takes, on average, 6 minutes per patient. Among patients who receive prescriptions, average time spent with a doctor is 10 minutes. Among those admitted to the hospital, average time of stay is 30 minutes. Steps 1, 3, and 5 have zero duration (triggers or decision points).
   1. On average, how many patients are waiting to be registered or in the registation process (step 1)? (5 points)

1. On average, how long does a patient spend in the ER? (5 points)
2. On average, how many patients are there in the ER? Assume the process to be stable; that is, average inflow rate equals average outflow rate. Hint: Find the process inventory (5 points)