. For this process, what is the proportion of shafts with a diameter between 23.991 mm and 24.000 mm? The proportion of shafts with diameter between 23.991 mm and 24.000 mm is 0.3361. (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is 0.8450 . (Round to four decimal places as needed.) c. For this process, what is the diameter that will be exceeded by only 5% of the shafts?
. For this process, what is the proportion of shafts with a diameter between 23.991 mm and 24.000 mm? The proportion of shafts with diameter between 23.991 mm and 24.000 mm is 0.3361. (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is 0.8450 . (Round to four decimal places as needed.) c. For this process, what is the diameter that will be exceeded by only 5% of the shafts?
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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A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with diameters between 23.991 mm and 24.009 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a
Complete parts (a) through (d) below.
a. For this process, what is the proportion of shafts with a diameter between
23.991 mm and 24.000 mm?
The proportion of shafts with diameter between 23.991 mm and
24.000 mm is 0.3361.
(Round to four decimal places as needed.)
b. For this process, what is the probability that a shaft is acceptable?
The probability that a shaft is acceptable is 0.8450
.
(Round to four decimal places as needed.)
c. For this process, what is the diameter that will be exceeded by only
5% of the shafts?
The diameter that will be exceeded by only
5% of the shafts is 24.0119 mm.
d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft diameters were
0.005 mm?
If the standard deviation is
0.005 mm, the proportion of shafts with diameter between 23.991 mm and 24.000 mm is 0.3307.
(Round to four decimal places as needed.)
If the standard deviation is 0.005 mm, the probability that a shaft is acceptable is .
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