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

question 28

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

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Definitions:

Residuals

Differences between observed values and estimated values in statistical models, indicating the disparity from actual to predicted results.

Errors

Mistakes or inaccuracies in data, calculations, or actions that can alter outcomes and interpretations.

Normally Distributed

Describes a distribution that is symmetrical, bell-shaped, and characterized by its mean, median, and mode being equal, commonly occurring in natural and social phenomena.

Oil Quality

The measure and characteristics of oil, including its viscosity, purity, and ability to perform effectively under specified conditions.