A manufacturing line consists of three single-machine workstations, with the average exponential processing times and mean time to failure for each machine shown in the table below. The exponential rate of arriving jobs into the system is 12 jobs per hour. The standard deviation of times between arrivals is 1.5 minutes. The standard deviation of natural processing times on any of the machines is 2 minutes. The mean time to repair any of the machines is 15 minutes, with a standard deviation of 5 minutes.

machine	1	2	3
T	3 min	5 min	4 min
mf	3 hours	4 hours	5 hours

1. What is the availability of each of the machines
2. What is the effective process time of machine 1
3. What is the utilization of machine 1
4. What is the coefficient of variability for effective process time on machine 1
5. Does machine 1 exhibit low, moderate, or high variability
6. What is the average time spent waiting in queue for parts at machine 1
7. What is the coefficient of variability for arrivals at machine 2