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

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.