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

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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 0056 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 Round to eight decimal places as needed

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