Mathematics, 27.08.2021 14:00 joelpimentel
A company that makes steel bolts knows from long experience that about 10% of its bolts are defective. To decrease the percentage of defective bolts shipped to customers, an electronic scanner is installed. The scanner is positioned over the production line and is supposed to pick out the good bolts. However, the scanner itself is not perfect. To test the scanner, a large number of (pretested) good bolts were run under the scanner, and it accepted 95% of the bolts as good. Then a large number of (pretested) defective bolts were run under the scanner, and it accepted 4% of these as good bolts. What is the probability of selecting a good bolt given that a shipment of bolts is accepted? (Rounded to 4 decimals)​
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