A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 mm and standard deviation 0.08 mm. a) What proportion of the diameters are less than 25.0 mm? b) Find the 10th percentile of the diameters. c) A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on? d) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportion of the ball bearings meet the specification?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 mm and standard deviation 0.08 mm. a) What proportion of the diameters are less than 25.0 mm? b) Find the 10th percentile of the diameters. c) A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on? d) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportion of the ball bearings meet the specification?

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