# Car battery - Exponential distribution question

## Question

A given car has a number of miles it can run before its battery is depleted, where the number of miles are exponentially distributed with an average of 10,000 miles to depletion.

If a given individual needs to make a trip that's 3,000 miles, what is the probability that she/he will be able to complete the trip without having to replace the battery? You can assume the car battery is new for this problem.

For some reading material on exponential distributions, you can visit this link.