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%

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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