A machining process produces 98.6% good components. The rest are defective. Each component passes through a pneumatic gauging system. 96% of the defective components are rejected by the gauging system, but 5% of the good components are rejected also. All components rejected by the gauging system pass through a tester. The tester accepts 98% of the good components and 12% of the defective components which reach it. The components which are accepted by the tester go a second time through the gauging system, which now accepts 92% of the good components and 6% of the defective components which pass through it. The total reject stream consists of components rejected by the tester and components rejected by the second pass through the gauging system. The total accepted stream consists of components accepted by the gauging system in either pass.
a) What percentage of all the components are rejected?
b) What percentage of the total reject stream was accepted by the tester?
c) What percentage of the total reject stream are not defective?