Question: Please show the formula so that I understand how to work the problem. A military missile defense system has four major components. Components' reliabilities are

Please show the formula so that I understand how to work the problem.

A military missile defense system has four major components. Components' reliabilities are shown below. All of the components must function in order for the defense system to operate effectively. a. Calculate the probability of the system below (all components must operate for the defense system to function). COMP 1 0.97 COMP 2 0.98 COMP3 0.96 COMP 4 0.90 b. If one backup with a reliability of .82 can be added to any one of the main components, which component should get it to obtain the highest overall reliability? Show your calculations for each backup situation (you should have 4 answers with one having the highest reliability). * Round your final answers to three decimal places

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