Consider the M/M/1 model, with < . (a) Determine the steady-state probability that a customers actual

Question:

Consider the M/M/1 model, with λ < μ.
(a) Determine the steady-state probability that a customer’s actual waiting time in the system is longer than the expected waiting time in the system, i.e., P {W > W}.
(b) Determine the steady-state probability that a customer’s actual waiting time in the queue is longer than the expected waiting time in the queue, i.e., P {Wq > Wq}.