The number of miles that a particular car can run before its battery wears out is exponentially distributed with an average of 10,000miles.
- The owner of the car needs to take a 5000 mile trip. What is the probability that he will be able to complete the trip without having to replace the car battery?
- What is the probability that the lifetime mileage of the car battery exceed the lifetime by more than 0.25 standard deviations?
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