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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 31 mm and standard deviation 7.4 mm. USE SALT (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 less than 20mm (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 four decimal places.) mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to four decimal places.) mm (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10% ? (Round your answers to four decimal places.) smallest 10% mm. largest 10% mm

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 31 mm and standard deviation 7.4 mm. USE SALT (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 less than 20mm (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 four decimal places.) mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to four decimal places.) mm (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10% ? (Round your answers to four decimal places.) smallest 10% mm. largest 10% mm

Calculus For The Life Sciences
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.CR: Chapter 13 Review
Problem 58CR
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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 31 mm and standard deviation 7.4 mm. USE SALT (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 less than 20mm (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 four decimal places.) mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to mm (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%? (Round your answers to four decimal places.) smallest 10% largest 10% mm our decimal places.) mm
Transcribed Image Text:The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 31 mm and standard deviation 7.4 mm. USE SALT (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 less than 20mm (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 four decimal places.) mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to mm (d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10%? (Round your answers to four decimal places.) smallest 10% largest 10% mm our decimal places.) mm
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