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A manufacturer of cereal has a machine that, when working properly, puts 20 ounces of cereal on average into a box with a standard deviation of 1 ounce. Every morning workers weigh 25 filled boxes. If the average weight is off by more than 1% from the desired 20 ounces per box, company policy requires them to re-calibrate the machine. In a sample of 100 days where the machine is working properly all day on how many the days is it expected the machine will be re-calibrated. Show Work.

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