Exercise 3: (5 points) The hematology lab manager has been receiving complaints that the turnaround time for blood test is too long. Data from the past month show that the arrival rate of blood samples to one technician in the lab is five per hour and the service rate is six per hour.

Use queuing theory and assume that both rates are exponentially distributed and that the lab is at steady state to answer the following questions.

- What is the capacity utilization of the lab?

- Average number of blood samples in the lab? -

Average time that a sample waits in the queue? -

Average number of blood samples awaiting for testing? -

Average time that a blood sample spends in the lab?