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A system consists of two components, each of which must activate if the system is to...

A system consists of two components, each of which must activate if the system is to activate. One component has a reliability of .99. The other has a reliability of .95. The components are independent of one another with respect to reliability. Due to the space constraint, only one of these two components can have a backup. The backup will be identical to the original part. What is the highest possible system reliability with the backup? (Please keep four digits after the decimal

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