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5. A manufacturing rm orders sprockets from three different companies. 12% of their sprockets come from COMPANY A, 30% of the sprockets are from COMPANY

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5. A manufacturing rm orders sprockets from three different companies. 12% of their sprockets come from COMPANY A, 30% of the sprockets are from COMPANY B and the remaining 58% come COMPANY C. Some of the sprockets they order are defective. 4% of all sprockets from COMPANYA are defective. 3% of the sprockets from COMPANY B are defective and 2% of the sprockets from COMPANY C do not work. a. An employee on the assembly line discovers a randome selected sprocket to be malfunctioning. What is the probability that the sprocket was from COMPANY B? Show your work with appropriate diagram as necessary

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