A two-component process has an 81% success rate in series and a 99% success rate in parallel.If each component has the same reliability,what is the reliability of an individual component?
A)50%
B)90%
C)99%
D)18%
E)81%

Question

Quizplus · Accepted Answer

In a series system, the reliability is the product of the reliabilities of the components. Let the reliability of each component be x. Then, x^2 = 0.81, so x = 0.9. In a parallel system, the reliability is 1 - (1-x)^2 = 0.99, which also confirms x = 0.9.

A Two-Component Process Has an 81% Success Rate in Series