The level of reliability required for each component is 98.99%.
Given to us:
Reliability when the system consists of two components in series and has the same level of reliability,
[tex]{\rm Reliability\ of\ the\ system}, R_{final} = 0.98[/tex]
The components have the same level of reliability,
[tex]R_1= R_2[/tex]
The resultant reliability of two components is given by:
[tex]R_{final}=R_1 \times R_2 \times R_3 \times R_4\times .....[/tex]
The level of reliability required for each component (R),
[tex]R_{final}=R_1 \times R_2\\0.98=R_1 \times R_2\\0.98=R_1 \times R_1\\ R_1^2=0.98\\R_1=\sqrt{0.98}\\R_1=0.9899\\[/tex]
[tex]R_1[/tex] = 98.99%
Hence, the level of reliability required for each component is 98.99%.
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