A production line has three machines A,B, and C, with rellabilitles of .90,.95, and .95 , respectively. The machines are arranged so that If one breaks down, the others must shut down. Englneers are welghing two alternative designs for Increasing the line's rellability. Plan 1 Involves adding an Identical backup /ine, and plan 2 involves providing a backup for each machine. In elther case, three machines (A, B, and C) would be used with rellabilitles equal to the original three. a. Compute overall system rellability under Plan 1. (Round your Intermedlate calculations and final answer to 4 decimal places.) Answer is complete but not entirely correct. b. Compute overall system rellability under Plan 2 . (Round your Intermedlate calculatlons and final answer to 4 decimal places.) Answer is complete but not entirely correct. c. Which plan will provide the higher rellability? Plan 1 Plan 2