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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 0.0067 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 ?(Round to eight decimal places as? needed.)
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