3. 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: d. The average time a customer spends waiting e. The average time a customer spends in the system f. The probability that arriving customers will have to wait for service g. The probability of 5 customers in the system
3. 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: d. The average time a customer spends waiting e. The average time a customer spends in the system f. The probability that arriving customers will have to wait for service g. The probability of 5 customers in the system
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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Transcribed Image Text:3. 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:
d. The average time a customer spends waiting
e. The average time a customer spends in the system
f. The probability that arriving customers will have to wait for service
g. The probability of 5 customers in the system
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