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There are two machines available for cutting corks intended for use in wine bottles. The first...

There are two machines available for cutting corks intended for use in wine bottles. The first machine produces corks with diameters that are normally distributed with a mean of 2.98 cm and a standard deviation of .12 cm. The second machine produces corks with diameters that are normally distributed with a mean of 3.05 cm and a standard deviation of .08 cm. Acceptable corks have diameters between 2.9 cm to 3.1 cm. Which machine is more likely to produce an acceptable cork?

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