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A Type of Lightbulb Is Labeled as Having an Average μ=4000\mu = 4000

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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\mu = 4000 . What is the median lifetime of these lightbulbs? Give your answer rounded to two decimal places.


Definitions:

Prospects Of Success

The potential or likelihood of achieving desired results, gains, or accomplishments in the future.

Critical Thinking

The intellectual discipline of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and evaluating information gathered from observation, experience, reflection, reasoning, or communication.

Rush Hour Traffic

The significantly increased flow of vehicle traffic typically occurring during the beginning and end of the workday.

Parking

The act of stopping and disengaging a vehicle in a designated place or area.

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