Note: A solution without detailed explanation calculation will get no more than 1 point out of 100. Problem 1. One of the industrial robots designed by a leading producer of servomechanisms has four major components. Components' reliabilities are 98, 95, 94, and 90. All of the components must func- tion in order for the robot to operate effectively. a. Compute the reliability of the robot. b. Designers want to improve the reliability by adding a backup component. Due to space limita- tions, only one backup can be added. The backup for any component will have the same reli- ability as the unit for which it is the backup. Which component should get the backup in order to achieve the highest reliability? c. If one backup with a reliability of 92 can be added to any one of the main components, which component should get it to obtain the highest overall reliability? Problem 2