Consider a product with three components in series, with reliabilities of 0.90, 0.80, and 0.89 for components A, B, and C, respectively. Furthermore, component B uses a backup that also has a reliability of 0.80. What is the reliability of the system?
A) 0.50000
B) 0.71280
C) 0.76896
D) 0.85536
E) 3.49000

Question

Quizplus · Accepted Answer

The reliability of the system is the product of the reliabilities of the components in series. The reliability of component B is the sum of the reliabilities of the primary component and the backup component, which is 0.80 + 0.80 = 0.96. Therefore, the reliability of the system is 0.90 * 0.96 * 0.89 = 0.76896.

Consider a Product with Three Components in Series, with Reliabilities