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Chapter 1 · Corporate and Legal AffairsPractice
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CONCEPT PRACTICE

Standard normal distribution

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Volume 2 · Chapter 1 · Textbook Exercises · Q11

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A factory manufactures a component of a certain length, and an error of the length follows a normal distribution with an average error of 1.25 mm and a standard deviation of 0.50 mm. If the allowed range for the error is ±2 mm, what is the percentage of defective products? Standard normal distribution table u p 0.0 0.500 0.5 0.309 1.0 0.159 1.5 0.067 2.0 0.023 2.5 0.006 3.0 0.001

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Source: FE Vol 2.pdf, PDF page 137, textbook p. 133 · Information-technology Promotion Agency, Japan · First Edition: April, 2015. ID: tb-v2-c1-q11. Publisher answer and commentary · private review.

Original question · Q11
Q11 A factory manufactures a component of a certain length, and an error of the length follows a normal distribution with an average error of 1.25 mm and a standard deviation of 0.50 mm. If the allowed range for the error is ±2 mm, what is the percentage of defective products? Standard normal distribution table u p 0.0 0.500 0.5 0.309 1.0 0.159 1.5 0.067 2.0 0.023 2.5 0.006 3.0 0.001 a) 2.3 b) 4.5 c) 6.7 d) 13.4

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