Question

A product has five components in series as shown below:

A→B→ C →D →E

The reliability of components A, B, C and D are the following:

A: 92%
B: 88%
C: 85%
D: 80%

The product is to have an overall reliability of 60%. What must the reliability of component E be to satisfy this requirement?

Answer 1

Component E must have a reliability of approximately 97.8%.

Step-by-step explanation:

To find the reliability required for component E, we can use the concept of series reliability. For components connected in series, the overall reliability of the system is the product of the reliabilities of each component. Since the overall reliability is given as 60%, we can set up the following equation:

0.92 * 0.88 * 0.85 * 0.8 * E = 0.6

Solving for E, we find that the reliability of component E must be approximately 0.978, or 97.8%, to satisfy the reliability requirement.