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(b)At a service counter of fast-food joint, the customers arrive at the average interval of six minutes whereas the counter clerk takes on an average

(b)At a service counter of fast-food joint, the customers arrive at the average interval of six minutes whereas the counter clerk takes on an average 5minutes for preparation of bill and delivery of the item. Calculate the following: i.Counter utilization level.

ii.Average waiting time of the customers at the fast food joint

. iii.Expected average waiting time in the line.

iv.Average number of customers in the service counter area.

v.Average number of customers in the line.

vi.Probability that the counter clerk is idle

vii.Probability of finding the clerk busy.

viii.Chances that customer is required to wait more than 30 minutes in the system.

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