The operating lifespan of a television picture tube represents a____________?
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Answer: B. Continuous variable
Explanation
Television picture tube lifespans are measured on a continuous physical time scale. Measurements can take any fractional or decimal value within an operating range. This continuous range of possible outcomes defines a continuous random variable. Variables are classified as discrete or continuous based on their measurement scale. Continuous variables can assume infinitely many values along an unbroken interval. Lifespan, weight, and voltage are classic examples of continuous physical measurements.
Reliability engineers use continuous probability distributions to model product lifetimes. Warranty calculations depend on continuous lifespan models to predict failure rates. Distinguishing continuous variables ensures proper calculus integration in reliability analysis. Option A is incorrect because discrete variables involve countable separate integer values. Option C is wrong as qualitative variables describe categories rather than measurements. Option D is incorrect because constant values do not vary across observations.
- Subject
- Mathematics
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- Statistics
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- medium
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