he parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z.  2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection.  Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output.  Use this information to answer the following questions.   d. What is the probability that a part is produced by Machine X and doesn't pass quality control inspection?  Enter your answer in decimal form and round to four decimal places if rounding is necessary.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z.  2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection.  Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output.  Use this information to answer the following questions.  

d. What is the probability that a part is produced by Machine X and doesn't pass quality control inspection?  Enter your answer in decimal form and round to four decimal places if rounding is necessary. 

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