A company's three factories produce 1,000 refrigerators per week. Plant A produces 350 refrigerators per week, while plants B and C produce 250 and 400 refrigerators per week, respectively. According to production records, 5% of the refrigerators manufactured at plant A will be defective, 3% of the refrigerators manufactured at plant B will be defective, and 7% of the refrigerators manufactured at plant C will be defective. Each refrigerator is transported to a central facility. If a defective refrigerator is discovered in the warehouse, what is the likelihood that it was manufactured at plant A? Display your work

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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         A company's three factories produce 1,000 refrigerators per week. Plant A produces 350 refrigerators per week, while plants B and C produce 250 and 400 refrigerators per week, respectively. According to production records, 5% of the refrigerators manufactured at plant A will be defective, 3% of the refrigerators manufactured at plant B will be defective, and 7% of the refrigerators manufactured at plant C will be defective. Each refrigerator is transported to a central facility. If a defective refrigerator is discovered in the warehouse, what is the likelihood that it was manufactured at plant A? Display your work 

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