In airlineapplications, failure of a component can result in catastrophe. As aresult, 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 eachcomponent's failure/success is independent of theothers, what is the probability all three componentsfail, resulting in disaster for theflight?

(b) What is the probability at least one of the components does notfail?

(a) The probability is nothing

(Round to eight decimal places asneeded.)