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Example 1.5

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Let the experiment consist of recording the lifetime of a piece of equipment, say a light bulb. An outcome here is the time until the bulb burns out. An outcome typically will be represented by a number ( if the bulb is not working at the start), and therefore is the nonnegative part of the real axis. In practice, is measured with some precision (in hours, days, etc.), so one might instead take . Which of these choices is better depends on the type of subsequent analysis.

Probability and Statistical Inference

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