A car servicing station has 2 bays where service can be offered simultaneously.Because of space limitation, only 4 cars are accepted for servicing. The arrivalpattern is Poisson with 12 cars per day. The service time in both the bays isexponentially distributed with µ = 8 cars per day per bay. Find the averagenumber of cars in the service station, the average number of cars waiting forservice and the average time a car spends in the system.

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Answered: A car servicing station has 2 bays…

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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Many electronic (e-)cigarettes work by vaporizing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette , the liquid passes through a heating element and turns to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devlation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff.…
Tuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…
In west Texas, water is extremely important. The fllowing data represent pH levels in ground water fr a random smple of 102 west Texas wells. A pH and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unus expensive treatment to make it usable.+ These data are also available for download at the Companion Sites for this text. For convenience, the data are p increasing order. x: pH of Ground Water in 102 West Texas Wells 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.1 7.1 7.1 7.1 7.1 7.1 7.1 |7.1 7.1 |7.1 7.2 | 7.2 7.2 | 7.2 |7.2 7.2 7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3
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An outdoor hot dog vendor sells an average of 70 hot dogs per day in dry weather and an average of 25 hot dogs in rainy weather. If the weather in this area is rainy 20% if the time, determine the expected number of hot dogs sold per day.
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 60 cells.
A researcher is studying the intensity of hurricanes that entered the Gulf of Mexico between 1975-2015 and the average water temperature of the Gulf of Mexico at the hurricane's peak strength. What is the independent and dependent variable in this study?
People living in a certain area have observed 102 rainy days in the year 2018, 96 rainy days in 2019, 111 rainy days in 2020. Use the best fit line to predict, how many rainy days they will see in 2021.
An aerosolized vaccine for measles was developed in Mexico and has been used on 44 million children since 1980. Aerosolized vaccines have the advantages of being able to be administered by people without clinical training and do not cause injection‐associated infections. The percentage of children developing an immune response to measles after receiving the subcutaneous injection of the vaccine is 95%,95%, and for those receiving the aerosolized vaccine, it is 85%85% . There are 2020 children to be vaccinated for measles using the aerosolized vaccine in a small rural village in India. We are going to count the number who developed an immune response to measles after the vaccination. (b) What is the probability that at least one child does not develop an immune response to measles after receiving the aerosolized vaccine? (Enter your answer as a proportion rounded to four decimal places.)
Just number 3 part a is for refer

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