A snack food company produces potato chips on three different production lines.  Line 1 produces 20% of the total output.  Line 2 produces 30%, and Line 3 produces the balance.  Each line is sampled to ensure the salt content is within the proper range.  Historically 4% of Line 1’s output does not meet the salt standards, 3% of Line 2’s output fails to meet the standards, and 2% of Line 3’s output does not meet the salt standards.  A random bag of potato chips was selected and did not meet the salt standards.  What is the probability that the chips were produced on Line 3?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A snack food company produces potato chips on three different production lines.  Line 1 produces 20% of the total output.  Line 2 produces 30%, and Line 3 produces the balance.  Each line is sampled to ensure the salt content is within the proper range.  Historically 4% of Line 1’s output does not meet the salt standards, 3% of Line 2’s output fails to meet the standards, and 2% of Line 3’s output does not meet the salt standards.  A random bag of potato chips was selected and did not meet the salt standards.  What is the probability that the chips were produced on Line 3?

 

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