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A factory produced 4 preliminary shipments. The first shipment produced 360 units and each subsequent shipment produced twice as many units as the previous shipment. If the first shipment produced 2 defective units, the second and third shipment each produced 4 defective units, and fourth shipment produced 8 defective units, how many defective units can the factory expect from a shipment of 9,000 units based on the ratio of defective units to non-defective units from these preliminary shipments?
Total units produced is 360+360*2+360*4+360*8=360(1+2+4+8)=360*15=5,400.
Total defective units is 2+4+4+8=18.
The ratio of defective units to non-defective units is 18/5,400=1/300 (1 defective unit out of 300).
So, based on this statistics the factory should expect 9,000*1/300=30 defective units from a shipment of 9,000 units.
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