The diameters D of screws made in a factory are normally distributed with mean 1 mm. Given that 10% of the screws have diameters greater than 1.04 mm, find the standard deviation correct to 3 significant figures, and hence show that about 2.7% of the screws have diameters greater than 1.06 mm. Find, correct to 2 significant figures, (i) the number d for which 99% of the screws have diameters that exceed d mm (ii) the number e for which 99% of the screws have diameters that do not differ from the mean by more than e mm. The diameters D of screws made in a factory are normally distributed withmean 1 mm. Given that 10% of the screws have diameters greater than1.04 mm, find the standard deviation correct to 3 significant figures, and henceshow that about 2.7% of the screws have diameters greater than 1.06 mm.Find, correct to 2 significant figures,(i) the number d for which 99% of the screws have diameters that exceed d mm(ii) the number e for which 99% of the screws have diameters that do notdiffer from the mean by more than e mm.[MEI)

Here AS PER POLICY I HAVE CALCULATED 3 PARTS ONLY Here for each z score use normal table

Answered: find the standard deviation correct to…

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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The diameters D of screws made in a factory are normally distributed with mean 1 mm. Given that 10% of the screws have diameters greater than 1.04 mm, find the standard deviation correct to 3 significant figures, and hence show that about 2.7% of the screws have diameters greater than 1.06 mm. Find, correct to 2 significant figures,
(i) the number d for which 99% of the screws have diameters that exceed d mm (ii) the number e for which 99% of the screws have diameters that do not differ from the mean by more than e mm.

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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