Your flight is scheduled to arrive in TPA at 10:05pm. You have estimated that the time from arrival for you to deplane, get across the airport, collect your checked bags, and make it to the train station is well described by an exponential distribution with mean 40 minutes. If the last train leaves at 11:00pm, what is the probability that you make it to the train on time if your plane arrives 10 minutes late?

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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Your flight is scheduled to arrive in TPA at 10:05pm. You have estimated that the time from arrival for you to deplane, get across the airport, collect your checked bags, and make it to the train station is well described by an exponential distribution with mean 40 minutes. If the last train leaves at 11:00pm, what is the probability that you make it to the train on time if your plane arrives 10 minutes late? 

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