SOLUTION: During the registration period, St. Mary’s Univeristy has a technician in its service center to answer students’ questions. The number of telephone calls arriving at this cente

Question 1198161: During the registration period, St. Mary’s Univeristy has a technician in its service center to answer students’ questions. The number of telephone calls arriving at this center follows a Poisson distribution with an approximate average rate of 10/h. The time required to answer one call follows an exponential distribution with an average of 4 min. Answer the following questions:
What is the average time between incoming calls?
What is the average number of calls that the technician can attend in 1h?
What is the probability of there being exactly four calls on hold at a given time?
What is the probability of the number of calls in the system exceeding 10?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
calls arriving- poisson distribution with an approximate average rate of 10/h.
calls answered- poisson distribution with an approximate average rate of 15/h.
What is the average time between incoming calls? 6min
What is the average number of calls that the technician can attend in 1h? 15
What is the probability of there being exactly four calls on hold at a given time?
poissonpdf(19,10) = ,0037
What is the probability of the number of calls in the system exceeding 10?
1 - poisson(10,10 ) = 1-0.583 = .417
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