Certified Quality Engineer (CQE) Exam 2025 – 400 Free Practice Questions to Pass the Exam

To determine the availability of a system, you can use the formula:

Availability (A) = MTBF / (MTBF + MTTR)

In this specific case, the mean time between failures (MTBF) is given as 2,500 hours and the mean time to repair (MTTR) is given as 98.0 hours.

First, calculate the sum of MTBF and MTTR:

MTBF + MTTR = 2,500 hours + 98.0 hours = 2,598 hours

Next, plug these values into the availability formula:

A = 2,500 hours / 2,598 hours

This results in a calculation of approximately 0.9623.

This value represents the availability of the system, indicating that about 96.23% of the time, the system is operational and available for use. This is a critical metric in reliability engineering and quality assurance, as it reflects the effectiveness of the system's uptime relative to its downtime.

Understanding availability helps organizations make more informed decisions regarding maintenance, operations, and investments in technology, ensuring that systems are designed with both durability and efficiency in mind.