please show work steps and answer A through E throughly and provide reasoning for your answer

7. The hematology lab manager has received complaints that their turnaround time for blood tests is too long. Data from the past month show that the arrival rate of blood samples to one technician in the lab is ten (10) per hour and the service rate is twelve (12) per hour. Using queuing theory, determine the following measures: (15 Points, 3pts. each) a. Capacity utilization of the lab b. Average time that a sample waits in the queue c. Average time that a blood sample spends in the lab d. Average number of blood samples in the lab e. Average number of blood samples waiting for testing