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 30, 20, and 15 min, respectively, and the standard deviations are 2, 1, and 1.8 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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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 30, 20, and 15 min, respectively, and the standard deviations are 2, 1, and 1.8 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
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 30, 20, and 15 min, respectively, and the standard deviations are 2, 1, and 1.8 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
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