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In airline​ applications, failure of a component can result in catastrophe. As a​ result, many airline...

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 0.0057 and the system that utilizes the component is part of a triple modular redundancy. ​(a) Assuming each​ component's failure/success is independent of the​ others, what is the probability all three components​ fail, resulting in disaster for the​ flight? ​(b) What is the probability at least one of the components does not​ fail? ​(a) The probability is nothing.

Math   Statistics-And-Probability   
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