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Reliability Data Analysis and Statistics Flashcards

7 cards from real CMRP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What is the primary purpose of Pareto analysis in a reliability and maintenance context?

    Answer: To identify and prioritize the vital few causes responsible for most failures

    Pareto analysis applies the 80/20 principle to identify the small number of causes (typically 20%) responsible for the majority (80%) of failures, focusing improvement resources where they have the greatest impact.

  2. How is the reliability of components arranged in SERIES calculated in a reliability block diagram?

    Answer: R_sys = R1 × R2 × ... × Rn

    In a series system, every component must function for the system to work, so system reliability is the product of individual component reliabilities.

  3. Which statistical method is used to determine whether the difference in failure rates between two equipment populations is statistically significant?

    Answer: Hypothesis testing

    Hypothesis testing (e.g., chi-square test, likelihood ratio test) evaluates whether observed differences in failure rates between two groups exceed what would be expected by chance alone.

  4. What does a confidence interval represent in a reliability estimate derived from test data?

    Answer: The range within which the true reliability parameter likely falls at a stated probability

    Confidence intervals quantify statistical uncertainty, providing a range that contains the true parameter value with a specified probability (e.g., 90% or 95%) given the available sample data.

  5. What is the primary purpose of Monte Carlo simulation in reliability analysis?

    Answer: To estimate reliability metrics for complex systems by running thousands of random trials

    Monte Carlo simulation models complex systems by sampling from input probability distributions across thousands of random scenarios, providing statistical estimates of system reliability, risk, and performance where analytical solutions are intractable.

  6. Fault Tree Analysis (FTA) is best described as which type of analytical approach?

    Answer: Top-down deductive method starting from an undesired top-level event

    FTA is a top-down deductive technique that uses AND/OR logic gates to trace from a defined undesired top-level event back to all combinations of basic events (component failures, human errors) that can cause it.

  7. Which metric combines both failure frequency and repair duration into a single measure of equipment operational readiness?

    Answer: Availability

    Availability = MTBF / (MTBF + MTTR), directly incorporating failure frequency (via MTBF) and repair speed (via MTTR) to measure the proportion of time equipment is operationally ready.