Suppose That a Bank Knows That Customers Arrive at a Poisson

Short Answer

Suppose that a bank knows that customers arrive at a Poisson rate of 8 per hour and the service time of a customer is exponential with mean 1/6 hours. The bank wants to minimize the number of idle tellers. If the system is an M/M/6 queuing system (i.e., it has 6 tellers), find the probability that there is an at least one idle server at any given time.