A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with diameters between 23.990 mm and 24.010 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 24.004 mm and a standard deviation of 0.006 mm. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 23.990 mm and 24.000 mm? The proportion of shafts with diameter between 23.990 mm and 24.000 mm is 0.2427. (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. (Round four decimal places as needed.)
A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with diameters between 23.990 mm and 24.010 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 24.004 mm and a standard deviation of 0.006 mm. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 23.990 mm and 24.000 mm? The proportion of shafts with diameter between 23.990 mm and 24.000 mm is 0.2427. (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. (Round four decimal places as needed.)
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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Transcribed Image Text:A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with diameters between 23.990 mm and 24.010 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a
mean of 24.004 mm and a standard deviation of 0.006 mm. Complete parts (a) through (d) below.
a. For this process, what is the proportion of shafts with a diameter between 23.990 mm and 24.000 mm?
The proportion of shafts with diameter between 23.990 mm and 24.000 mm is 0.2427.
(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
(Round to four decimal places as needed.)
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