2. A Florida coastal community experiences a population increase during the winter months with seasonal residents arriving from northern states and Canada. The post office counter has three work stations. The service rate of each postal clerk is 0.75 customer per minute. The anticipated arrival rate is 1.2 customers per minute. Assume that customer arrivals follow a Poisson probability distribution, with an arrival and that service times follow an exponential probability distribution. Determine the following operating characteristics for the system:

2. A Florida coastal community experiences a population increase during the winter months with seasonal residents arriving from northern states and Canada. The post office counter has three work stations. The service rate of each postal clerk is 0.75 customer per minute. The anticipated arrival rate is 1.2 customers per minute. Assume that customer arrivals follow a Poisson probability distribution, with an arrival and that service times follow an exponential probability distribution. Determine the following operating characteristics for the system:

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Description: 2. A Florida coastal community experiences a population increase during thewinter months with seasonal residents arriving from northern states and Canada.The post office counter has three work stations. The service rate of each postalclerk is 0.75 c

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

2. A Florida coastal community experiences a population increase during the
winter months with seasonal residents arriving from northern states and Canada.
The post office counter has three work stations. The service rate of each postal
clerk is 0.75 customer per minute. The anticipated arrival rate is 1.2 customers
per minute. Assume that customer arrivals follow a Poisson probability
distribution, with an arrival and that service times follow an exponential
probability distribution. Determine the following operating characteristics for the
system:

2.) Determine the probability that no customers are in the system
а. 35/187
b. 1024/3927
c. 2048/6545
d. 256/935
3.) Determine the average number of customers waiting
а. 35/187
b. 1024/3927
c. 2048/6545
d. 256/935
4.) Determine the average number of customers in the system
a. 0.2737
b. 0.2608
c. 0.1942
d. 1.9129

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