A flu clinic can manage 20 patients per hour. On an average, every 4 minutes a person walks in. Assume the M/M/1 queuing system. Find the following using the formulas discussed in class:
- Average number of patients waiting in the clinic (excluding anyone who might be taking the flu shot).
- The percentage of time the clinic will be busy.
- Average time spent by the patient in the clinic (including waiting and flu shot time).
- Average number of patients in the clinic (including the number of people taking the flu shot).
- The probability that there will be three patients in the clinic.