Blemish Crack Pull-Tab Problem Surface Defect Other 15 50 21 10 4 12 44 28 8 8 20 40 24 15 2 During this period, line 1 produced 500 nonconforming cans, line 2 produced 200 such cans, and line 3 was responsible for 800 nonconforming cans. Suppose that one of these 1,500 cans is randomly selected. (a) What is the probability that the can was produced by line 1? (Round your answer to three decimal places.) What is the probability that the reason for nonconformance is a crack? (Round your answer to three decimal places.) (b) If the selected can came from line 1, what is the probability that it had a blemish? (c) Given that the selected can had a surface defect, what is the probability that it came from line 1? (Round your answer to three decimal places.)
Blemish Crack Pull-Tab Problem Surface Defect Other 15 50 21 10 4 12 44 28 8 8 20 40 24 15 2 During this period, line 1 produced 500 nonconforming cans, line 2 produced 200 such cans, and line 3 was responsible for 800 nonconforming cans. Suppose that one of these 1,500 cans is randomly selected. (a) What is the probability that the can was produced by line 1? (Round your answer to three decimal places.) What is the probability that the reason for nonconformance is a crack? (Round your answer to three decimal places.) (b) If the selected can came from line 1, what is the probability that it had a blemish? (c) Given that the selected can had a surface defect, what is the probability that it came from line 1? (Round your answer to three decimal places.)
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
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 nonconformance, for each of the three lines during a particular time period.
Blemish
Crack
Pull-Tab Problem
Surface Defect
Other
Line 1 Line 2 Line 3
15
12
20
50
44
40
21
28
24
10
8
15
4
8
2
During this period, line 1 produced 500 nonconforming cans, line 2 produced 200 such cans, and line 3 was responsible for 800 nonconforming cans.
Suppose that one of these 1,500 cans is randomly selected.
(a) What is the probability that the can was produced by line 1? (Round your answer to three decimal places.)
What is the probability that the reason for nonconformance is a crack? (Round your answer to three decimal places.)
(b) If the selected can came from line 1, what is the probability that it had a blemish?
(c) Given that the selected can had a surface defect, what is the probability that it came from line 1? (Round your answer to three decimal places.)
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 2 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