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.

Answered: Image /qna-images/answer/61cda3e9-9592-4e39-b871-fcccd9dac4d5.jpg

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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What proportion of machine time would be lost in operating four machines when the machine operates 70 percent of the time unattended and the operator attention time at irregular intervals averages 30 percent? Is this the best arrangement on the basis of minimizing the proportion of machine time lost?
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All trucks traveling on Interstate 40 between Albuquerqueand Amarillo are required to stop at a weigh station. Trucksarrive at the weigh station at a rate of 120 per eight-hourday (Poisson distributed), and the station can weigh, on theaverage, 140 trucks per day (Poisson distributed).a. Determine the average number of trucks waiting, the average time spent at the weigh station by each truck, and theaverage waiting time before being weighed for each truck.b. If the truck drivers find out they must remain at theweigh station longer than 15 minutes on the average,they will start taking a different route or traveling atnight, thus depriving the state of taxes. The state ofNew Mexico estimates it loses $10,000 in taxes peryear for each extra minute (over 15) that trucks mustremain at the weigh station. A new set of scales wouldhave the same service capacity as the present set ofscales, and it is assumed that arriving trucks would lineup equally behind the two sets of scales. It would…
The germination rate of seeds is defined as the proportion of seeds that, when properly planted and watered, sprout and grow. A certain variety of grass seed usually has a germination rate of 0.80, and a company wants to see if spraying the seeds with a chemical that is known to change germination rates in other species will change the germination rate of this grass species. (a) Suppose the company plans to spray a random sample of 400 seeds and conduct a two-sided test of 0: 0.8Hpusing = 0.05. They determine that the power of this test against the alternative 0.75pis 0.69. Interpret the power of this test.(b) Describe two ways the company can increase the power of the test. What is a disadvantage of each of these ways? (c) The company researchers spray 400 seeds with the chemical and 307 of the seeds germinate. This produces a 95% confidence interval for the proportion of seeds that germinate of (0.726, 0.809). Use this confidence interval to determine whether the test described in…
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A study was conducted to demonstrate that soybeans inoculated with nitrogen-fixing bacteria yield more and grow adequately without expensive environmentally deleterious synthesized fertilizers. The trial was conducted under controlled conditions with uniform amounts of soil. The initial hypothesis was that inoculated plants would outperform their uninoculated counterparts. This assumption is based on the facts that plants need nitrogen to manufacture vital proteins and amino acids and that nitrogen-fixing bacteria would make more of this substance available to plants, increasing their size and yield. There were 8 inoculated plants (I) and 8 uninoculated plants (U). The plant yield as measured by pod weight for each plant is given in Table 2.20 Here are the questions I would like explanations for. Please use STATA to compute answers!!!: 2.35. The objective is to compute appropriate descriptive statistics for I and Data set available U plants. 2.36. Use graphic methods to compare the…
A study was conducted to demonstrate that soybeans inoculated with nitrogen-fixing bacteria yield more and grow adequately without expensive environmentally deleterious synthesized fertilizers. The trial was conducted under controlled conditions with uniform amounts of soil. The initial hypothesis was that inoculated plants would outperform their uninoculated counterparts. This assumption is based on the facts that plants need nitrogen to manufacture vital proteins and amino acids and that nitrogen-fixing bacteria would make more of this substance available to plants, increasing their size and yield. There were 8 inoculated plants (I) and 8 uninoculated plants (U). The plant yield as measured by pod weight for each plant is given in Table 2.20. Compute appropriate descriptive statistics for I and Data set available U plants.
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