The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.4 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 1 is greater than the total time used by machine 2?

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 manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.4 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 1 is greater than the total time used by machine 2?

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