Homework Help is Here – Start Your Trial Now!
Math
Statistics
The quality control at a refrigerator factory has shown that approximately 3% of the refriger- ators that come off the assembly line are defective. If we make 1000 refrigerators, what is the approximate probability that more than 30 refrigerators are defective?

The quality control at a refrigerator factory has shown that approximately 3% of the refriger- ators that come off the assembly line are defective. If we make 1000 refrigerators, what is the approximate probability that more than 30 refrigerators are defective?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Question 5:** The quality control at a refrigerator factory has shown that approximately 3% of the refrigerators that come off the assembly line are defective. If we make 1000 refrigerators, what is the approximate probability that more than 30 refrigerators are defective? --- Explanation for Website: In this problem, we are dealing with a probability scenario involving defective units in a manufacturing process. Given that 3% of refrigerators are typically defective, we want to calculate the likelihood that more than 30 out of 1000 refrigerators produced are defective. This type of probability problem can be approached using the binomial distribution, which is suitable for scenarios where there are two possible outcomes, such as defective or non-defective. However, given the large sample size (1000), one might also use a normal approximation for a simpler computation. This question requires knowledge of probability distributions and is typical in quality control analysis.
Transcribed Image Text:**Question 5:** The quality control at a refrigerator factory has shown that approximately 3% of the refrigerators that come off the assembly line are defective. If we make 1000 refrigerators, what is the approximate probability that more than 30 refrigerators are defective? --- Explanation for Website: In this problem, we are dealing with a probability scenario involving defective units in a manufacturing process. Given that 3% of refrigerators are typically defective, we want to calculate the likelihood that more than 30 out of 1000 refrigerators produced are defective. This type of probability problem can be approached using the binomial distribution, which is suitable for scenarios where there are two possible outcomes, such as defective or non-defective. However, given the large sample size (1000), one might also use a normal approximation for a simpler computation. This question requires knowledge of probability distributions and is typical in quality control analysis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS