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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 13 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 16 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? h (d) What is the average time (in hours) at the reference desk (waiting time plus service time)? h (e) What is the probability that a new arrival has to wait for service?

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 13 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 16 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? h (d) What is the average time (in hours) at the reference desk (waiting time plus service time)? h (e) What is the probability that a new arrival has to wait for service?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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just D and E please.

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 13 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 16 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? h (d) What is the average time (in hours) at the reference desk (waiting time plus service time)? h (e) What is the probability that a new arrival has to wait for service?
Transcribed Image Text:The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 13 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 16 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? h (d) What is the average time (in hours) at the reference desk (waiting time plus service time)? h (e) What is the probability that a new arrival has to wait for service?
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