In a health clinic, the average rate of arrival
of patients is 12 patients per hour. On an
average, a doctor can serve patients at the
rate of one patient every four minutes.
Assume, the arrival of patients follows a
Poisson distribution and service to patients
follows an exponential distribution. Find the
average number of patients in the waiting
line and in the clinic. Find the average
waiting time in the waiting line or in the
queue and also the average waiting time in
the clinic.
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QUESTION
In a health clinic, the average rate of arrival
of patients is 12 patients per hour. On an
average, a doctor can serve patients at therate of one patient every four minutes.
Assume, the arrival of patients follows a
Poisson distribution and service to patients
follows an exponential distribution. Find the
average number of patients in the waiting
line and in the clinic. Find the average
waiting time in the waiting line or in the
queue and also the average waiting time in
the clinic.
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