Ace the 2026 Certified Quality Engineer Exam – Elevate Your Expertise and Shine!

Question: 1 / 400

In a system with 1,000 devices in series, how much would system reliability improve by increasing component reliability from 99.90% to 99.99%?

2.5

To determine how the overall system reliability improves when the reliability of individual components is increased from 99.90% to 99.99%, it's crucial to understand how the reliability of a series system is calculated. In a series system, the overall reliability is the product of the reliabilities of the individual components.

In this case, we have 1,000 devices. For a single device with reliability R, the overall system reliability (S) can be calculated as follows:

- When the reliability of each component is 99.90% (0.9990), the overall system reliability is:

\[

S_{0.9990} = (0.9990)^{1000}

\]

- When the reliability of each component is increased to 99.99% (0.9999), the overall system reliability becomes:

\[

S_{0.9999} = (0.9999)^{1000}

\]

To find the improvement in reliability, we look at the ratio of the new reliability to the original reliability:

\[

\text{Improvement Factor} = \frac{S_{0.9999}}{S_{0.9990}}

\]

Calculating

Get further explanation with Examzify DeepDiveBeta

3.7

5.0

7.5

Next Question

Report this question

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy