In the accounting department of a bank 100 accounts are selected at randomand examined for errors. Suppose the following results have been obtained:No. of errors2345No. of accounts :354019222On the basis of this information can it be concluded that the errors are distributed according tothe poisson probability law ?

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Answered: In the accounting department of a bank…

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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On average, based on past records, a Forklift will have a failure rate once every 7000 hours of drive time. Mechanical failure of Forklifts constitutes a Poisson process. (a) If a Forklift is scheduled for inspection and maintenance after every 2500 drive hours, what is the probability of mechanical failure of a Forklift between inspections? (b) In a fleet of 20 Forklifts of the same type, what is the probability that not more than two (S 2) will have mechanical failure within the above scheduled inspection/maintenance interval? Assume that failure between Forklifts is statistically independent.
A state government hired a contractor for a road-construction project. The contractor's type, its cost efficienciency, is unknown to the government. There is 2/3 probability of the its construction cost being 3 (billion dollars per lane) and 1/3 probability of the cost being 5. More lanes yield more social benefit in the form of faster travel and fewer accidents. The social value V (measured in billions of dollars) from having N lanes on the highway is: V-15N-N?/2. The government is interested in choose N and writing a contract to maximize the benefit to the state (V) net of the fee paid to the contractor (call it F); G-V-F. Your goal as a government official is to design a pair of contracts to separate the types of contractor. You want the contractor to choose "Contract L: Build N lanes and get paid RL dollars" if its cost type is low cost of $3 (billion dollars per lane) and to choose "Contract H: Build NH lanes and get paid RH dollars" if its cost type is high cost $5 (billion…
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b) A bottled water company has found in the past that 2% of their bottled water does not meet the company's high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probability: i. Carefully defining the random variable of interest What is the probability distribution? State the values of the parameters Justifying the suitability of the probability distribution identified in part (ii) ii. 111. Calculate the probability that at most 2 bottles do not meet the company's Standards iv. The expected number of bottles that do not meet the company's standards. V.
Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw). a. List each possible outcome for the colors of the shirts if two shirts are drawn randomly from the drawer. The teacher said there should be total of 16 outcomes, not 9 or 10. In my original answer, I have 10 outcomes when there should be 16. c.Find the probability of each event (not the probability from each outcome) from part (b). For my first answer, I had the probability of each outcome, and I should have the probability of each event.
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