Question: : There is a 2 % chance that a critical component of a machine fails after 2 0 hours of operation, causing a system failure.

: There is a

2 %

chance that a critical component of a machine fails after

20

hours of operation, causing a system failure.

(

Saying it differently, there is

98 %

chance that the system operate in

20

hours, so the reliability of the system is

98 % .)

To increase the reliability of the system, engineers install a backup for this critical component which automatically comes online when the component fails. What is the reliability of the system?

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