For a single server, single queue system with an arrival rate of 8 customers per hour and a service rate of 10 customers per hour, what is the probability of zero customers in the system (to two decimal places)?
A) 0.80
B) 0.20
C) 1.20
D) Cannot be determined from the information given

Question

Quizplus · Accepted Answer

This is a M/M/1 queueing system, where the arrival rate is less than the service rate. The probability of zero customers in the system in this case is given by the formula (1 - (λ/μ)), where λ is the arrival rate and μ is the service rate. Substituting the values, we get (1 - (8/10)) = 0.2, which is option B.

For a Single Server, Single Queue System with an Arrival