A small town’s hospital wanted to an analysis about the ambulance number that they own/need to…

  1. A small town’s hospital wanted to an analysis about the ambulance number that they own/need to own. Requests for ambulance is 0,45 per hour and tend to follow Poisson-distribution. Travel and assistance time averages two hours per call. There is no assumption regarding the distribution of service time.
  1. What are the arrival and service rates (5 points)
  2. Compute the average number of customers being served at any time (5 points)
  3. Calculate the system utilization for total number of server values of M=1,2 and 3 (5 points)
  4. Suppose someone made a day long observation and concluded that the average queue length is 1,7 requests. Then please calculate the average number of people in the system. (5 points)