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{"ops":[{"insert":"A large manufacturing company is in the process of training its personnel in quality-control\nprocedures. At present 40% of the assembly lines use control charts, 40% use inspection\ntechniques and the remaining assembly lines do not use any method for controlling quality.\nAssume that an assembly line can only use a maximum of 1 method, if any, for quality\ncontrol.\nThe assembly lines that use control charts have a 1% defective rate. The assembly lines\nthat use inspection techniques have a 5% defective rate. The assembly lines that do not use\nany quality-control techniques have a 12% defective rate. The probability that an item\nproduced by this company is defective is (correct to 3 decimal places):\n"}]}
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