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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...

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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. Thismeans 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 0.0064 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 ï¬‚ight? (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.)