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Description: Plastic strips that are used in a sensitive electronic device are manufactured to a maximum specification of 510.60 mm and a minimum specification of 499.1 mm. If the strips are less than the minimum specification, they are scrapped; if greater than

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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Plastic strips that are used in a sensitive electronic device are manufactured to a maximum specification of 510.60 mm and a minimum specification of 499.1 mm. If the strips are less than the minimum specification, they are scrapped; if greater than the maximum specification, they are reworked. Assuming that the part dimensions are normally distributed with a mean of 505.6 mm
and a standard deviation of 2.5 mm.
• What percentage of the product is scrap?
• What percentage is rework?

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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