Question: Consider an M/M/1 QS with service rates µ = 10 customers per second. In stationary regime, the server is busy for 90% of time. Determine:
a) The arrival rate λ.
b) The mean number of customers being queued.
c) The probability that the number of queued customers is at least 20% greater than its mean.
d) The probability that a customer spends more than 2s in the system.