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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, 15, and 20 min, respectively, and the standard deviations are 1, 2, and 2 min, respectively. What is the probability that the total Machining time of three takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.). Hint: Let X1 be the Maching time 1, X2 be the Maching time 2, and X3 be the Maching time 3. Also, you may set the total Machining time of three is Y as a linear combination of X1,X2 and X3 as Y=X1+X2 +X3.

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, 15, and 20 min, respectively, and the standard deviations are 1, 2, and 2 min, respectively. What is the probability that the total Machining time of three takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.). Hint: Let X1 be the Maching time 1, X2 be the Maching time 2, and X3 be the Maching time 3. Also, you may set the total Machining time of three is Y as a linear combination of X1,X2 and X3 as Y=X1+X2 +X3.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 30, 15, and 20 min, respectively, and the standard deviations are 1, 2, and 2 min, respectively. What is the probability that the total Machining time of three takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.). Hint: Let X1 be the Maching time 1, X2 be the Maching time 2, and X3 be the Maching time 3. Also, you may set the total Machining time of three is Y as a linear combination of X1,X2 and X3 as Y=X1+X2 +X3.
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, 15, and 20 min, respectively, and the standard deviations are 1, 2, and 2 min, respectively. What is the probability that the total Machining time of three takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.). Hint: Let X1 be the Maching time 1, X2 be the Maching time 2, and X3 be the Maching time 3. Also, you may set the total Machining time of three is Y as a linear combination of X1,X2 and X3 as Y=X1+X2 +X3.
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