Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a particular manufacturing design requires a shaft

A particular manufacturing design requires a shaft with a diameter of 17.000 ​mm, but shafts with...

50.1K

Verified Solution

Question

Basic Math

A particular manufacturing design requires a shaft with adiameter of 17.000 ​mm, but shafts with diameters between 16.988 mmand 17.012 mm are acceptable. The manufacturing process yieldsshafts with diameters normally​ distributed, with a mean of 17.004mm and a standard deviation of 0.004 mm.

Complete parts​ (a) through​ (d) below.

a. For this​ process, what is the proportion of shafts with adiameter between 16.988mm and 17.000 mm​?

The proportion of shafts with diameter between 16.988 mm and17.000 mm is 0.1587.

​(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 0.9772.

​(Round to four decimal places as​ needed.)

c. For this​ process, what is the diameter that will be exceededby only 2.5​% of the​ shafts?

The diameter that will be exceeded by only 2.5​% of the shaftsis 17.0118 mm.

​(Round to four decimal places as​ needed.)

d. What would be your answers to parts​ (a) through​ (c) if thestandard deviation of the shaft diameters were 0.003 ​mm? If thestandard deviation is 0.003​mm, the proportion of shafts withdiameter between 16.988 mm and 17.000 mm is

Answer & Explanation Solved by verified expert
4.1 Ratings (589 Votes)
a P16988 X 17 P16988 X 17 P16988 170040004 Z 17 170040004 P4 Z 1 PZ 1 PZ 4 01587 0000 01587b P16988 X 17012 P16988 X 17012    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Operations Management
1.2K views

Explain traits of distinguishes leaders from followers? You being a leader, what are the traits you...

Chemistry
1.2K views

Using Silica or Alumina in packing the column results in “Normal” chromatography. What is reversed-phase chromatography...

Physics
1.2K views

(1)Write a few lines about work, (at least 60 words) examples and units of work and...

Physics
1.2K views

Two point charges q and 4q are separated by a distance of 6a Find the...

Basic Math
1.2K views

Suppose that for retirement purposes over the course of 21 years you make monthly deposits...

Basic Math
1.2K views

What percentage of adults score below 85?16%99.7%68%0.3%84%8%Calling itself "the high IQ society," MENSA requires an...

Basic Math
1.2K views

Find the surface area of a cylinder whose radius is 1.2 mm and whose height...

Basic Math
1.2K views

Akira wants to purchase his first new car and can select one option from each...

Calculus
1.2K views

Verify that for any value of c the function y ce 2 e is a...

Accounting
1.2K views

What is a variable interest entity? Why do companies establish variable interest entities? I international...

Accounting
1.2K views

Schwerin Corporation reports the following on its 2022 financial statements. From statement...

Finance
1.2K views

Question 2 1 pts A $1000 face value bond, with a 5.5% coupon rate paid...