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GEM Company: the diameter of a cylinder is an important measurement in an industrial operation. The buyer sets the specifications for the diameter to be 4.0 ±0.02 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a cylinder has a normal distribution with mean u = 4.0 and standard deviation o =0.013. On average, how many manufactured cylinders will be scrapped?

GEM Company: the diameter of a cylinder is an important measurement in an industrial operation. The buyer sets the specifications for the diameter to be 4.0 ±0.02 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a cylinder has a normal distribution with mean u = 4.0 and standard deviation o =0.013. On average, how many manufactured cylinders will be scrapped?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem 6: Analysis of Cylinder Diameter in Industrial Production** In an industrial operation at GEM Company, the diameter of a cylinder is a critical measurement. The buyer has specific requirements for this measurement: the diameter must be within 4.0 ± 0.02 cm. This means that any cylinder falling outside these specifications will be rejected. During the manufacturing process, it is observed that the diameter of a cylinder follows a normal distribution. The mean diameter is noted to be μ = 4.0 cm, with a standard deviation of σ = 0.013 cm. **Question:** On average, how many manufactured cylinders will be scrapped if they do not meet the diameter specifications set by the buyer?
Transcribed Image Text:**Problem 6: Analysis of Cylinder Diameter in Industrial Production** In an industrial operation at GEM Company, the diameter of a cylinder is a critical measurement. The buyer has specific requirements for this measurement: the diameter must be within 4.0 ± 0.02 cm. This means that any cylinder falling outside these specifications will be rejected. During the manufacturing process, it is observed that the diameter of a cylinder follows a normal distribution. The mean diameter is noted to be μ = 4.0 cm, with a standard deviation of σ = 0.013 cm. **Question:** On average, how many manufactured cylinders will be scrapped if they do not meet the diameter specifications set by the buyer?
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