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An engineer is analyzing the reliability of a component using a probability density function that is strictly positive only on [a, b]. She claims that the probability the component fails outside this interval is zero. Is her reasoning correct and why?
No, because the random variable may still take those values
Yes, because the random variable is always continuous
Yes, because the probability density function is zero outside a, b
No, because the interval a, b is arbitrary
Yes, because the probability density function is zero outside a, b
Practice and solve "An engineer is analyzing the reliability of a component using a probability density function that is..." for Part 5 Domain Knowledge - CILMTIndustrial Engineering 2026. The correct answer is Option C: Yes, because the probability density function is zero outside a, b. Detailed step-by-step solution, conceptual clarity, and formulas on Examoogle.
Practice and solve "An engineer is analyzing the reliability of a component using a probability density function that is..." for Part 5 Domain Knowledge - CILMTIndustrial Engineering 2026. The correct answer is Option C: Yes, because the probability density function is zero outside a, b. Detailed step-by-step solution, conceptual clarity, and formulas on Examoogle.