Answer to Question #109097 in Statistics and Probability for Jigar

Question

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 *

Answer 1

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