A clinic performs Covid-19 testing for the local community. It takes the clinic 4 minutes to test each patient. It is estimated that patients will arrive at a rate of 10 per hour. Remember that the arrival rate and service rate must be expressed in the same time period.

a. Find the average number of patients in the system (L sub s)

b. Find the average time a patient waits in the system (W)

c. Find the average number of patients in the queue (L sub q)

d. Find the average time a patient waits before getting vaccinated (W sub q)

e. Find the probability of the number of patients in the system being 2 or greater (P sub n)