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A new aircraft control system is being designed that must be 98.5 ​% reliable. This system...

A new aircraft control system is being designed that must be 98.5 ​% reliable. This system consists of four components in series. If all four of the components are to have the same level of​ reliability, then the level of reliability required for each component​ = ? ​% ​(enter your response as a percentage rounded to two decimal​ places).

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Answer #1

The level of reliability required for each component = 99.62%

For components in series, the total reliability of system is the product of each component reliability. So inorder to find the level of component reliability required we just have to take the fourth root of the value 0.985,which is equal to 0.9962.

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