2.10. Alice and Bob are at the gym. They will first ride stationary bikes for an exponentialy distributed amount of time with means 30 and 20 minutes. Then they will lift weights for an exponentially distributed amount of time with means 10 and 15. (a) What is the probability Alice finishes first? (b) How long does it take until they are both done?

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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2.10. Alice and Bob are at the gym. They will first ride stationary bikes for
an exponentialy distributed amount of time with means 30 and 20 minutes.
Then they will lift weights for an exponentially distributed amount of time
with means 10 and 15. (a) What is the probability Alice finishes first? (b) How
long does it take until they are both done?
Transcribed Image Text:2.10. Alice and Bob are at the gym. They will first ride stationary bikes for an exponentialy distributed amount of time with means 30 and 20 minutes. Then they will lift weights for an exponentially distributed amount of time with means 10 and 15. (a) What is the probability Alice finishes first? (b) How long does it take until they are both done?
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