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 0.22 probability of failure. Complete parts (a) through (c) below.....(a) Would it be unusual to observe one component fail? Two components?Itbe unusual to observe one component fail, since the probability that one component fails,isthan 0.05. Itbe unusual to observe two components fail, since the probability that two components fail,isthan 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 0.9999?(Type a whole number.)O Time RemainDOTODA2334403MAIN

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Answered: For a parallel structure of identical…

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 system consists of four components with A, B in series and C, D in parallel connected as shown below in the following diagram. Given that the system above with components in the order A, B, C, and D, from top to down function independently. If the probability that the component A, B, C, and D fail is 0.10,0.05,0.10, and 0.20 respectively. Estimate the probability that the system functions?
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
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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.)
This circuit operates only if there is a path of functional devices from left to right (a to b). If the probability that each device functions is 0.95, what is the probability that the circuit operates? Each device fails independently. 1 4 a 7 2
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
116. For a device to work properly, three subsystems of the device must all function properly. To increase the reliability of the device, spare units may be added to each system. It costs 100 TL to add a spare unit to system 1, 300 TL to system 2, and 200 TL to system 3. As a function of the number of added spares (a maximum of two spares may be added to each system), the probability that each system will work is given in Table. Use dynamic programming to maximize the probability that the device will work properly, given that 600 TL is available for spare units. Identify and explain decision variables, stages, states and formulate a recursion to design the device with optimal reliability. Probability that a system works system 1 Number of spares system 3 system 2 .60 .85 .70 1 .90 .85 .90 2 .95 .95 .98 117. You are planning on moving to a new house. You need to move n items of size aj , j-1,2,.,.n. You have bought m boxes (box i has size bi , i- 1,2,.,m). You need to rent a truck that…
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Valve A: 92% Valve B: 94% Valve C: 93%
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 0.037 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 a system that has greater than a 0.99999999 probability of not failing. (a) The probability is. (Round to eight decimal places as needed.)
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