Final answer:
The reliability of the finished good made up of four components is approximately 0.82. If a backup is used on one of the components, the reliability would be approximately 0.015 or 1.5%.
Step-by-step explanation:
The reliability of a finished good (FG) made up of four components can be calculated by multiplying the reliability of each component. In this case, the reliabilities of the components are given as 0.96, 0.89, 0.98, and 0.98. Therefore, the reliability of the FG would be 0.96 * 0.89 * 0.98 * 0.98 = 0.81512, or approximately 0.82.
If a backup is used for one of the components, we can calculate the new reliability by subtracting the reliability of the component from 1 and then multiplying it with the reliability of the other three components. Let's say we use a backup on the first component (reliability = 0.96), then the new reliability would be (1 - 0.96) * 0.89 * 0.98 * 0.98 = 0.01504, or approximately 0.015 or 1.5%.