Answered: The defect length of a corrosion defect…

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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Question

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard deviation 7.8 mm.

a)What is the probability that defect length is at most 25 mm? Less than 25 mm?

b) What is the 85th percentile of the defect length distribution—that is, the value that separates the smallest 85% of all lengths from the largest 15%? plan

c)What is the 20th percentile of the defect length distribution?\

d)What values separate the middle 90% of the defect length distribution from the smallest 5% and the largest 5%?

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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