(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 answe 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. You may need to use the appropriate table in the Appendix of Tables to answer this question.. D

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←XOE
7.
8.
DETAILS
DEVORESTAT9 4.3.039.S.
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 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
mm
(c) What is the 15th percentile of the defect length distribution? (Round your answer to four decimal places.)
DETAILS
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%
You may need to use the appropriate table in the Appendix of Tables to answer this question..
mm,
DEVORESTAT9 4.3.028.MI.S.
LAUSE SALT
4
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)
Transcribed Image Text:WebAssign ←XOE 7. 8. DETAILS DEVORESTAT9 4.3.039.S. The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 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 mm (c) What is the 15th percentile of the defect length distribution? (Round your answer to four decimal places.) DETAILS 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% You may need to use the appropriate table in the Appendix of Tables to answer this question.. mm, DEVORESTAT9 4.3.028.MI.S. LAUSE SALT 4 Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)
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