In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a criticalcomponent has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.031 and thesystem that utilizes the component is part of a triple modular redundancy.(a) What is the probability that the system does not fail?(b) Engineers decide to the probability of failure is too high for this system. Use trial and error to determine the minimum number of components that should be included in the system toresult in a system that has greater than a 0.99999999 probability of not failing.(a) The probability is.(Round to eight decimal places as needed.)

It is given that an airline have two backup components, and the probability of critical airline…

Answered: In airline applications, failure of a…

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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A component of a spacecraft has both a main system and a backup system operating throughout a flight. The probability that both systems fail sometime during the flight is 0.0148. Assuming that both systems, considered separately, have the same failure rate, what is the probability that the main system fails during the flight?
A student will take two trainee selection exams for companies A and B, respectively. He estimates the probability that he will pass the exam.Company A's selection rate is 2/3. In company B, the probability of approval is 3/4. Finally, the probability of being approved in both processes simultaneously is of 50%. Under these conditions, what is the probability of passing only one of the companies?
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.013, the probability that a computer produced by factory B is defective is 0.049, and the probability that a computer produced by factory C is defective is 0.056. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:
QUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.
A major traffic problem in Baguio City can be seen in the intersection of Abanao and Maharlika. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. Draw the transition diagram in 2 periods. (TREE DIAGRAM)
Consider an M/M/1 queueing system. Find the probability of finding at least n customers in the system.
Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then bothsamples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1,find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is low, so further testing will be necessary for all of the combined mixtures. B. The probability is low, so further testing of the individual samples will be a rarely necessary event. C. The probability is not low, so further…
Johnson Chemicals is considering two options for its supplier portfolio. Option 1 uses two local suppliers. Each has a "unique-event" risk of 4.5%, and the probability of a "super-event" that would disable both at the same time is estimated to be 1.3%. Option 2 uses two suppliers located in different countries. Each has a "unique-event" risk of 14%, and the probability of a "super-event" that would disable both at the same time is estimated to be 0.18%. a) The probability that both suppliers will be disrupted using option 1 is ____ (round your response to five decimal places). b) The probability that both suppliers will be disrupted using option 2 is _____ (round your response to five decimal places).
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.039 and the system that utilizes the component is part of a triple modular redundancy. (a) What is the probability that the system does not fail? (b) Engineers decide to the probability of failure is too high for this system. Use trial and error to determine the minimum number of components that should be included in the system to result in system that has greater than a 0.99999999 probability of not failing. (a) The probability is (Round to eight decimal places as needed.)
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.038, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.047. A computer is selected at random and it is found to be defective. What is the probability it came from factory B? Answer:
For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure. Complete parts (a) through (c) below. T.... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, than 0.05. It be unusual to observe two components fail, since the probability that two components fail,, is than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9998? (Type a whole number.) O Time Remaining: 02:29:14 Next Left Raht

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