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In a car repair shop the facility for emission testing can be modelled as M/M/1 queue. Its average utilization is 80%, the expected processing time of a test is 10 minutes.
a. Determine the expected inter-arrival time.
b. Determine the expected number of customers waiting for the emission test, the expected waiting time as well as the expected cycle time.
c. What is the probability that at most two customers are waiting?
d. Determine the arrival rate such that the expected cycle time of a customer is no more than 12 minutes.
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