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A Doctor is working in a small village. The number of patients approaching the dispensary appears to be Poisson distributed with a mean of six patients per hour. The Doctor attends the patients on a first come first served basis and the patients wait if the need be. The Doctor can attend the patients at an average rate of 10 patients per hour with a service time exponentially distributed. Find the probability that the queuing system is idle. * 1 point What is the expected time a patient would spend in the dispensary? * 1 point What is the average length of queue that has at least one patient? * 1 point Find the average time that the doctor is free on an 8 hour working day *
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