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:

Discounted

The process of determining the present value of a payment or stream of payments that will be received in the future.

Present Value

The current value of a future amount of money or stream of cash flows, given a specified rate of return.

Rate Of Return

The increase or decrease in value of an investment within a set timeframe, represented as a percentage of the investment's starting price.

Discount Rate

The interest rate charged by central banks on loans they give to commercial banks or the rate used to discount future cash flows to their present value.