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One of the industrial robots designed by a leading producer of servomechanisms has three major components. Components’ reliabilities are 80, 85, and 95%. All of the components must function in order for the robot to operate effectively.
1. Compute the reliability of the robot.
2. 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. Which component should get the backup in order to achieve the highest reliability? Show proof of your answer by computing the overall reliabilities of the three options (assume 100% reliable backup switch)
3. If one backup with a reliability of 99% can be added to any of the main components, which component should get it to obtain the highest overall reliability? Show proof of your choice by computing the overall reliabilities of the three options (assume a backup switch with 100% reliability).
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