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Suppose the control system of a fighter jet consists of three unrelated components in series, and it is desired to have 98% reliability of the system. If the reliability level of all the components is the same, then the reliability of each component (rounded off to three decimal places) is ______ %.

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Explanation:

Let reliability levels of the First, Second, and Third Component be \(R_1, R_2 \: and \:R_3\) respectively.

The reliability level of all the components is the same. i.e. \(R_1 = R_2 = R_3 = R\)

Now, A fighter jet consists of three unrelated components in series,

∴ \(R_s = R_1\times R_2 \times R_3 = 0.98\)

\(R_s = R\times R \times R\)

\(R_s = R^3\)

\(0.98 = R^3\)

\(R = 0.98^{1/3}\)

\(R = 0.993\)

R = 99.3 %

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