Question

Four components A, B, C, D having individual reliability of 0.9 are in series. The system reliability will be:

(a) 0.6561
(b) 0.729
(c) 0.810
(d) 0.864

Answer 1

The system reliability of the four components in series is 0.6561

Step-by-step explanation:

To find the system reliability, we need to calculate the reliability of the series combination of the four components A, B, C, and D. In a series configuration, the reliability is given by multiplying the individual reliabilities of the components.

Reliability of the system = Reliability of component A * Reliability of component B * Reliability of component C * Reliability of component D = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Therefore, the system reliability is 0.6561.