Question

A classroom has a presentation system that consists of four components, each of which must activate if the system is to work adequately. The first component has a reliability of 0.97, the second component has a reliability of 0.99, the third component has a reliability of 0.97, and the fourth component has a reliability of 0.93. What is the overall system reliability

Answer 1

0.87

Explanation:

According to the scenario, computation of given data are as follows,

As, each must be activated, this shows that components are in series.

So, we can calculate reliability of system by using following formula,

System reliability with components in series = System reliability 1 × System reliability 2 × System reliability 3 × System reliability 4

So, overall system reliability = 0.97 × 0.99 × 0.97 × 0.93

overall system reliability = 0.866 or 0.87