A factory uses three production lines to manufacture cans of a certain type. The accompanying table gives percentages of nonconforming cans, categorized by type of non-conformance for each of the three lines during a particular time period. During this time period, line 1 produced 400 non-conforming cans, line 2 produced 200 such cans, and line 3 was responsible for 500 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. Given that the selected can had a surface defect, what is the probability that it came from Line 1? (State your answer as a decimal accurate to three decimal places). Line 1 Line 2 Line 3 Blemish 15% 12% 20% Crack 50% 44% 40% Pull-Tab Problem 21% 28% 24% Surface Defect 10% 8% 15% Other 4% 8% 1% Your Answer:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Mm4

A factory uses three production lines to manufacture cans of a certain type. The
accompanying table gives percentages of nonconforming cans, categorized by type
of non-conformance for each of the three lines during a particular time period.
During this time period, line 1 produced 400 non-conforming cans, line 2 produced
200 such cans, and line 3 was responsible for 500 non-conforming cans. A Quality
Control person picks up a non-conforming can produced by one of the three lines.
Given that the selected can had a surface defect, what is the probability that it came
from Line 1? (State your answer as a decimal accurate to three decimal places).
Line 1 Line 2 Line 3
Blemish
15%
12% 20%
Crack
50%
44% 40%
Pull-Tab Problem 21%
28% 24%
Surface Defect
10%
8%
15%
Other
4%
8%
1%
Your Answer:
Transcribed Image Text:A factory uses three production lines to manufacture cans of a certain type. The accompanying table gives percentages of nonconforming cans, categorized by type of non-conformance for each of the three lines during a particular time period. During this time period, line 1 produced 400 non-conforming cans, line 2 produced 200 such cans, and line 3 was responsible for 500 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. Given that the selected can had a surface defect, what is the probability that it came from Line 1? (State your answer as a decimal accurate to three decimal places). Line 1 Line 2 Line 3 Blemish 15% 12% 20% Crack 50% 44% 40% Pull-Tab Problem 21% 28% 24% Surface Defect 10% 8% 15% Other 4% 8% 1% Your Answer:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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