The number of miles that a particular car can run before its battery wears out is exponentially distributed with a mean of 13885 miles. a. What is the probability that the car battery will be dead in less than 12797 miles? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 89 percentile longevity (mileage) of the battery. Answer in exact fraction, or rounded to at least 4 decimal places. miles

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The number of miles that a particular car can run
before its battery wears out is exponentially
distributed with a mean of 13885 miles.
a. What is the probability that the car battery will be
dead in less than 12797 miles?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. Determine the 89 percentile longevity (mileage)
of the battery.
Answer in exact fraction, or rounded to at least 4 decimal places.
miles
Transcribed Image Text:The number of miles that a particular car can run before its battery wears out is exponentially distributed with a mean of 13885 miles. a. What is the probability that the car battery will be dead in less than 12797 miles? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 89 percentile longevity (mileage) of the battery. Answer in exact fraction, or rounded to at least 4 decimal places. miles
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