A system is to be composed of 10 identical components in series. What is the lowest reliability component that can be used in order to have an overall system reliability of 0.90?
A) 0.99
B) 0.98
C) 0.97
D) 0.96
E) 0.95

Question

Quizplus · Accepted Answer

To find the lowest reliability component, we use the formula for series reliability: R_system = (R_component)^n. Here, R_system = 0.90 and n = 10. Solving (R_component)^10 = 0.90 gives R_component ≈ 0.99.

A System Is to Be Composed of 10 Identical Components