The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard deviation 7.1 mm. (a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your answers to four decimal places.) at most 20mm 0.1299 less than 20mm 0.1024 (b) What is the 75th percentile of the defect length distribution-that is, the value that separates the smallest 75% of all lengths from the largest 25%? (Round your answer to three decimal places.) 32.789 mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to three decimal places.) 20.6413 (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%? (Round your answers to three decimal places.) smallest 10% mm largest 10% mm You may need to use the appropriate table in the Appendix of Tables to answer this question.
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard deviation 7.1 mm. (a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your answers to four decimal places.) at most 20mm 0.1299 less than 20mm 0.1024 (b) What is the 75th percentile of the defect length distribution-that is, the value that separates the smallest 75% of all lengths from the largest 25%? (Round your answer to three decimal places.) 32.789 mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to three decimal places.) 20.6413 (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%? (Round your answers to three decimal places.) smallest 10% mm largest 10% mm You may need to use the appropriate table in the Appendix of Tables to answer this question.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard deviation 7.1 mm.
(a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your answers to four decimal places.)
at most 20mm
0.1299
less than 20mm
0.1024
(b) What is the 75th percentile of the defect length distribution-that is, the value that separates the smallest 75% of all lengths from the largest 25%? (Round your answer to three decimal places.)
32.789
mm
(c) What is the 15th percentile of the defect length distribution? (Round your answer to three decimal places.)
20.6413
(d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%? (Round your answers to three decimal places.)
smallest 10%
mm
largest 10%
mm
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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