5. The reference desk of a university library receives requests for assistance. Assume that aPoisson probability distribution with an arrival rate of 10 requests per hour can be used todescribe the arrival pattern and that service times follow an exponential probability distri-bution with a service rate of 12 requests per hour.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 minutes before service begins?d. What is the average time at the reference desk in minutes (waiting time plus servicetime)?What is the probability that a new arrival has to wait for service?е.

Arrival rate (λ) = 10 requests per hourService (μ) = 12 requests per hourutilization factor (ρ) =…

5. The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distri- bution with a service rate of 12 requests per hour. 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? What is the average waiting time in minutes before service begins? d. What is the average time at the reference desk in minutes (waiting time plus service time)? с. What is the probability that a new arrival has to wait for service? е.

5. The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distri- bution with a service rate of 12 requests per hour. 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? What is the average waiting time in minutes before service begins? d. What is the average time at the reference desk in minutes (waiting time plus service time)? с. What is the probability that a new arrival has to wait for service? е.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

5. The reference desk of a university library receives requests for assistance. Assume that a
Poisson probability distribution with an arrival rate of 10 requests per hour can be used to
describe the arrival pattern and that service times follow an exponential probability distri-
bution with a service rate of 12 requests per hour.
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 minutes before service begins?
d. What is the average time at the reference desk in minutes (waiting time plus service
time)?
What is the probability that a new arrival has to wait for service?
е.

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