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College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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A single librarian is stationed at a reference desk of a university library that receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 11 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 15 requests per hour. (Round your answers to four decimal places.)
(a)
What is the probability that no requests for assistance are in the system?
 
 
A single librarian is stationed at a reference desk of a university library that receives requests for assistance. Assume that a Poisson probability distribution with an arrival
rate of 11 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 15
requests per hour. (Round your answers to four decimal places.)
(a) What is the probability that no requests for assistance are in the system?
(b) What is the average number of requests that will be waiting for service?
(c) What is the average waiting time (in hours) before service begins?
(d) What is the average time (in hours) at the reference desk (waiting time plus service time)?
(e) What is the probability that a new arrival has to wait for service?
Transcribed Image Text:A single librarian is stationed at a reference desk of a university library that receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 11 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 15 requests per hour. (Round your answers to four decimal places.) (a) What is the probability that no requests for assistance are in the system? (b) What is the average number of requests that will be waiting for service? (c) What is the average waiting time (in hours) before service begins? (d) What is the average time (in hours) at the reference desk (waiting time plus service time)? (e) What is the probability that a new arrival has to wait for service?
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