Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 30, and 15 min, respectively, and the standard deviations are 2, 1, and 1.3 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.) USE SALT You may need to use the appropriate table in the Appendix of Tables to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
distribution, and the three times are independent of one another. The mean values are 20, 30, and 15 min, respectively, and the
standard deviations are 2, 1, and 1.3 min, respectively. What is the probability that it takes at most 1 hour of machining time to
produce a randomly selected component? (Round your answer to four decimal places.)
USE SALT
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 30, and 15 min, respectively, and the standard deviations are 2, 1, and 1.3 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.) USE SALT You may need to use the appropriate table in the Appendix of Tables to answer this question.
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