Certified Maintenance & Reliability Professional (CMRP) Practice Exam

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Prepare for the Certified Maintenance and Reliability Professional Exam. Utilize flashcards and multiple choice questions, each with explanations and tips. Ensure exam success!

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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
Approximately 0.367
Approximately 0.778

The correct answer is: Approximately 0.632

To determine the reliability of an asset with a given failure rate over a specific period, you can use the reliability formula, which is derived from the exponential distribution. The reliability (R) can be calculated using the formula: R(t) = e^(-λt) where: - λ is the failure rate (in this case, 0.001 fail/hour) - t is the time period of interest (100 hours) Substituting the values into the formula gives us: R(100) = e^(-0.001 * 100) = e^(-0.1) Calculating e^(-0.1) yields approximately 0.904837. This value rounds to approximately 0.905 when considered in a practical context, matching closely with the second choice. The option that states approximately 0.632 refers to the situation where the time factor is significant enough to induce a different reliability scenario, typically found in calculations for different time or rates. Therefore, understanding the exponential decay concept in reliability calculations reinforces the conclusion that the reliability for the given parameters points toward a value closer to 0.905.