Consider a server that executes jobs arriving according to a Poisson process of rate l = 10 job/s, and serves them with an average service time D = 85 ms.
Determine:
β’ The utilization of the system
β’ The probability of having exactly one job in the system
β’ The probability of having more than 5 jobs in the system
β’ The average queue length (job not in service)
β’ The average response time
β’ The probability that the response time is greater than 0.5 s.
β’ The 90 percentile of the response time distribution






