Certified Maintenance & Reliability Professional (CMRP) Practice Exam 2026 – All-in-One Guide to Master Your Certification!

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What is the reliability for an asset with a failure rate of 0.001 fail/hour over 100 hours of operation?

Approximately 0.632

Approximately 0.905

To determine the reliability of an asset with a given failure rate over a specified period, you can utilize the exponential reliability formula. The reliability (R) after a certain time can be calculated using:

R = e^(-λt)

Where:

- e is the base of the natural logarithm (approximately equal to 2.71828),

- λ (lambda) is the failure rate (in this case, 0.001 fail/hour),

- t is the time period (in this case, 100 hours).

By substituting the values into the formula, we have:

R = e^(-0.001 * 100)

This simplifies to:

R = e^(-0.1)

Calculating e^(-0.1) yields approximately 0.904837, which rounds to about 0.905. Thus, the reliability for the asset over 100 hours of operation is approximately 0.905.

This indicates that there is a 90.5% chance that the asset will function without failure over that time period, demonstrating a high level of reliability for the asset in question.

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Approximately 0.367

Approximately 0.778

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