A system consists of two components, each of which must activate if the system is to activate. One component has a reliability of .99. The other has a reliability of .95. The components are independent of one another with respect to reliability. What is the overall system reliability?
A) .99
B) .95
C) .94
D) .90
E) Cannot be determined with this information.

Question

Quizplus · Accepted Answer

To calculate the overall system reliability, we can use the formula:

Overall reliability = (reliability of Component 1) * (reliability of Component 2)

Since the components are independent, we can simply multiply their reliabilities.

Overall reliability = 0.99 * 0.95 = 0.9405

Rounding to two decimal places, the overall system reliability is 0.94, which corresponds to choice C).

A System Consists of Two Components, Each of Which Must