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.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
icon
Related questions
Question

I need answer B. 

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.)
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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning