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A factory has a machine designed to produce 1 kg bags of sugar. It is found that the average weight of sugar in the bags

A factory has a machine designed to produce 1 kg bags of sugar. It is found that the average weight of sugar in the bags is 1.02 kg. Assuming that the weights of the bags are normally distributed, find the standard deviation if 1.7% of the bags weigh below 1 kg.

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