Question: A newly designed robot vacuum has three major components. Components reliabilities are .99, .98, and .95. All components must function in order for the robot

A newly designed robot vacuum has three major components. Components reliabilities are .99, .98, and .95. All components must function in order for the robot to operate effectively.

Designers want to improve the reliability by adding a backup component. Due to space limitations, only one backup can be added. The backup for any component will have the same reliability as the unit for which it is the backup. What will be the highest reliability the robot can achieve? (Please keep two digits after the decimal point.)

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