A system consists of four components in parallel. System success requires that at least three of these components must function. What is the probability of system success if the component reliability is 0.9? What is the system reliability if five components are placed in parallel to perform the same function?

A system consists of four components in parallel. System success requires that at least three of these components must function. What is the probability of system success if the component reliability is 0.9? What is the system reliability if five components are placed in parallel to perform the same function?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A contractor plans to acquire new bulldozer for a new project. From experience, there is 50% chance that each bulldozer can remain operational for at least 6 months. If 3 bulldozers are purchased, what is the probability that there will be only 1 bulldozer left operational after 6 months into the project? choices: 5/8 1/4 1/8 3/8 Determine the three points that lie on the same line (32,5) (24, 18) (22, 21) (17,29) choices: (32,5) (24, 18) (17,29) (32, 5) (22, 21) (17, 29) (24, 18) (22, 21) (17,29) (32, 5) (24, 18) (22, 21) please help us in these sample problems with detailed solution thank you
Testing for a disease can be made more efficient by combining samples. If the samples from three people are combined and the mixture tests negative, then all three samples 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 0.2, find the probability of a positive result for three samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
I need help with this
Calculate the reliability of the system shown below if components A, B, and C function properly independently of each other with probabilities 0.83, 0.75, and 0.49, respectively. (Enter your answer as a number between 0 and 1 rounded to two decimal places) A Your Answer:
(b) A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that at least one is functioning is 0.97. (i)What is the probability that A functioning but B not? (ii) Component A is not but B function or B is not but A functioning
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.)
Dace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
Global Airlines operates two types of jet planes: jumbo and ordinary. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. Global serves two types of customers, business and tourist. Business customers are 70% of Global customers, while tourists make up 30%. 15% of Global's customers fly on jumbo jets and are tourists. What is the probability that a customer is a tourist and flies on a regular jet?
Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples 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 0.2, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples 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 0.05, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)
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.)