Q 4/ After collecting considerable data, the engineers decided to model the variation in shaft diameter as a normal distribution with mean 10.1 mm and standard deviation 2.7 mm. c) (a) For the next shaft, what is the probability that its diameter is between 8.5 mm and 13.0 mm? d) (b) According to the normal model, what proportion of the shafts have diameter between 8.5 mm and 13.0 mm? (c) What proportion of the shafts have diameter greater than 15.1 mm?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Q 4/ After collecting considerable data, the engineers decided to model the variation in shaft
diameter as a normal distribution with mean 10.1 mm and standard deviation 2.7 mm.
c) (a) For the next shaft, what is the probability that its diameter is between 8.5 mm and
13.0 mm?
d) (b) According to the normal model, what proportion of the shafts have diameter
between 8.5 mm and 13.0 mm?
(c) What proportion of the shafts have diameter greater than 15.1 mm?
Transcribed Image Text:Q 4/ After collecting considerable data, the engineers decided to model the variation in shaft diameter as a normal distribution with mean 10.1 mm and standard deviation 2.7 mm. c) (a) For the next shaft, what is the probability that its diameter is between 8.5 mm and 13.0 mm? d) (b) According to the normal model, what proportion of the shafts have diameter between 8.5 mm and 13.0 mm? (c) What proportion of the shafts have diameter greater than 15.1 mm?
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