(Solution) - A process of manufacturing screws is checked every hour by -(2025 Original AI-Free Solution)

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A process of manufacturing screws is checked every hour by inspecting n screws selected at random from that hour?s production. If on or more screws are defective, the process is halted and carefully examined. How large should n be if the manufacturer wants the probability to be about 95% that the process will be halted when 10% of the screws being produced are defective? (Assume independence of the quality of any screw of that of the other screws).