A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness specification. Use central limit theorem and normal approximation to binomial to answer the following questions. What is the probability that on a given day, fewer than 890 O-rings meet the specification?
Find the 60th percentile of the number of O-rings that meet the specification.
If the machine operates for five days, what is the probability that fewer than 890 O-rings meet the specification on three or more of those days?
A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness specification. Use central limit theorem and normal approximation to binomial to answer the following questions. What is the probability that on a given day, fewer than 890 O-rings meet the specification? Find the 60th percentile of the number of O-rings that meet the specification. If the machine operates for five days, what is the probability that fewer than 890 O-rings meet the specification on three or more of those days?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness specification. Use central limit theorem and normal approximation to binomial to answer the following questions.
-
- What is the probability that on a given day, fewer than 890 O-rings meet the specification?
- Find the 60th percentile of the number of O-rings that meet the specification.
- If the machine operates for five days, what is the probability that fewer than 890 O-rings meet the specification on three or more of those days?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman