Simulate a clinic where patients arrive at a rate of 2.5 per hour following a Poisson distribution. The time that it takes for a patient to be checked by a doctor follows a Triangular distribution with a min of 40 min, mode of 60 min, and a max of 100 min. There are 3 doctors available within the clinic. Simulate this clinic for a single replication of 5000 hours.

a. What would the expected wait time in queue for a patient?

b.The management is concerned with the amount of time a patient must wait in the queue before being seen by a doctor. If they added a fourth doctor, what would bethe new value for the expected wait time in queue for a patient?