The number of kilometers that a car can run before the battery needs to be replaced is an exponential random variable with mean 20,000 km. I have not yet changed the battery in my car and I have driven it 15,000 kilometers. I am about to take a trip of 5,000 kilometers. What is the probability that I will be able to complete the trip without having to change the battery? O 0.3333 0.779 0.368 0.221 0.632

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The number of kilometers that a car can run before the
battery needs to be replaced is an exponential random variable
with mean 20,000 km. I have not yet changed the battery in my car
and I have driven it 15,000 kilometers. I am about to take a trip
of 5,000 kilometers. What is the probability that I will be able
to complete the trip without having to change the battery?
0.3333
0.779
0.368
0.221
0.632
Transcribed Image Text:The number of kilometers that a car can run before the battery needs to be replaced is an exponential random variable with mean 20,000 km. I have not yet changed the battery in my car and I have driven it 15,000 kilometers. I am about to take a trip of 5,000 kilometers. What is the probability that I will be able to complete the trip without having to change the battery? 0.3333 0.779 0.368 0.221 0.632
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