Question

Consider a Department of Mammal Vehicles (DMV) office that is run by two clerks: Flash and Priscilla. The amount of time each clerk spends with a customer is exponentially distributed with rate λF an A) Assuming that the time each clerk spends with a customer is constant: This would not account for the fact that the rate of service is affected by the number of customers that the clerks are serving at any given time. B) Assuming that the time each clerk spends with a customer is independent: This would not account for the fact that the rate of service is affected by the number of customers that the clerks are serving at any given time. C) Assuming that the time each clerk spends with a customer is the same for both clerks: This would not account for the fact that the rate of service is affected by the number of customers that the clerks are serving at any given time. D) Assuming that the time each clerk spends with a customer is the same for all customers: This would not account for the fact that the rate of service is affected by the number of customers that the clerks are serving at any given time.

Answer 1

The correct option would be A) "Assuming that the time each clerk spends with a customer is constant." This assumption would not account for the fact that the rate of service is affected by the number of customers that the clerks are serving at any given time. In reality, when there are more customers, the service rate may slow down due to longer waiting times and increased workload for the clerks.

Step-by-step explanation: