A Type of Lightbulb Is Labeled as Having an Average $4000$

question 41

Short Answer

A type of lightbulb is labeled as having an average lifetime of $4000$ hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean µ = $4000$ . What is the median lifetime of these lightbulbs? Give your answer rounded to two decimal places.

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Definitions:

Implicit Conclusions

Conclusions not directly stated but inferred from the provided premises or evidence.

Syllogisms

Logical arguments containing three parts: a major premise, a minor premise, and a conclusion, used to derive a truth from assumed truths.

Empirical Evidence

Information acquired by observation or experimentation that is used to confirm or refute a hypothesis or theory.

Evaluating Facts

The process of assessing the accuracy and relevance of information to determine truth.