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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Answer #2
Vehicles arrive at a car detailing service at a rate of 10 per minute according to a Poissondistribution. For simplicity, assume that there is only one lane and one worker who can serve atan average rate of 12 vehicles per minute. Service times are exponentially distributed. Part A: What is the average length of the queue? Part B: What is the average time a vehicle must spend to get through the system? Part C: What is the utilization rate of the worker? Part D: What is the probability that when you arrive at the shop, there will be three ormore vehicles ahead of you?
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Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?
A study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of five per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. a. Calculate the percentage utilization of the graduate student. (Round your answer to 1 decimal place.) b. Calculate the average number of students in the system, including the graduate student service desk. (Round your answer to 1 decimal place.) c. Calculate the average time in the system. (Round your answer to 1 decimal place.) d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal places and final answer to…
The less correlated the securities in a portfolio, Select one: O a the higher the diversifiable risk. O b. the higher the portfolio risk. O c. the lower the portfolio risk. Od the lower the unsystematic risk.
In an article published in 2012 at Telegraph.co.uk, Warranty Direct gave engine failure rates for a variety of car brands based on their database of UK direct consumer warranties. The following are known: ● Hondas failed at a rate of 1 in 344. ● Fords failed at a rate of 1 in 80. ● Audis failed at a rate of 1 in 27. Suppose Hondas account for 20% of sales at a particular dealer, Audis 30%, and Fords 50%. Assuming the engine failure rates apply to these vehicles. Determine the probability that a randomly selected vehicle from this dealer will experience engine failure.
According to a report by the U.S. Environmental Protection Agency (EPA), containers and packaging generated about 34.6% of all municipal solid waste (MSW) in the country in a recent year. This was the largest category of such waste. The next highest group was nondurable goods, which accounted for 25.4 % of waste. This was followed by durable goods at 10.9%, yard trimmings/other at 13.4%, and food scraps at 15.7%. Suppose last year, one large midwestern U.S. city processed 303 (1,000 tons) of MSW broken down by waste type as follows: Waste Type Containers and Packaging Nondurable Goods Durable Goods Yard Trimmings/Other Food Scraps MSW (1,000 tons) 129 73 28 45 28 Determine if there is a significant difference between the distribution of municipal solid waste in this midwestern city and the distribution released by the EPA a. Specify the hypotheses. Ho HA b. Calculate the test statistic and p-value. Round intermediate calculations to AT LEAST 4 decimal places and final answers to 3…