Question: (1 mark A tractor operator has only one tractor and he operates it on the job order from farmers. The requisitions for the jobs arrive

(1 mark A tractor operator has only one tractor

(1 mark A tractor operator has only one tractor and he operates it on the job order from farmers. The requisitions for the jobs arrive with Poisson distribution having interval time of 0.8 day. The average time to do a job is distributed exponentially with mean 0.6 day. assuming that the tractor can take up the next job immediately on completion of the previous job, determine the following: (i) Will a queue be formed? (1 mark) (ii) If queue is formed will it statistically stabilize? What is the utilization factor? (1 mark) (2 marks (iv) What is the idle time in daily duty of 8 hours? (3 marks What is the mean number of job orders waiting? (3 marks What is the mean waiting time for job orders in the system? (3 marks) What is the mean waiting time in the queue? (vi) (vii)

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