Question

You have a system with three components and each of those components has a backup in case of failure of the primary component. The three primary components have a reliability of 0.92, 0.89, and 0.92. The first component has a backup with a reliability of 0.86. The second component has a backup with a reliability of 0.86. The third component has a backup with a reliability of 0.84. What is the reliability of the system? Answer to three decimal places

Answer 1

To calculate the reliability of the system, multiply the reliability of each component and its backup. The reliability of the system is 0.467.

Step-by-step explanation:

To calculate the reliability of the system, we need to consider the primary components and their backups. The reliability of the system can be found by multiplying the reliability of each primary component and its backup.

Reliability of component 1: 0.92 * 0.86 = 0.7912

Reliability of component 2: 0.89 * 0.86 = 0.7666

Reliability of component 3: 0.92 * 0.84 = 0.7728

To find the reliability of the system, multiply the reliability of each component together: 0.7912 * 0.7666 * 0.7728 = 0.4667

The reliability of the system is 0.467.