Final answer:
Converting to a constant service time of 12 minutes per customer will increase predictability but may increase the average wait time, as the flexibility of shorter service times offered by an exponential distribution is lost.
Step-by-step explanation:
The question pertains to a single server queuing system with an average service time that is currently exponentially distributed and considering a shift to a system with constant service time. With an average arrival rate of one customer every two minutes, converting to a constant service time of 12 minutes per customer would lead to more predictability in wait times and service flow but could potentially increase the average wait time.
In the current exponential distribution, there are probabilities associated with shorter and longer service times, but a constant service time of 12 minutes becomes a fixed value.
This excludes the possibility of a customer being served quicker than the average, hence potentially increasing the total time a customer spends in the system (both waiting and being serviced).