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 100 non-conforming cans, line 2 produced 100 such cans, and line 3 was responsible for 300 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. What is the probability that the can was produced by 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%
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 100 non-conforming cans, line 2 produced 100 such cans, and line 3 was responsible for 300 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. What is the probability that the can was produced by 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%
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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 100 non-conforming cans, line 2 produced 100 such cans, and line 3 was responsible for 300 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. What is the probability that the can was produced by 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% |
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