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

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Basic Math

3. There are two machines available for cutting corks for use inwine bottles. The first produces corks with diameters that arenormally distributed with an average of 3 cm and a standarddeviation of 0.1 cm. The second machine produces corks withdiameters that have a normal distribution with an average of 3.04cm and a standard deviation of 0.02 cm. Acceptable corks havediameters between 2.9 and 3.1 cm.
a.Which machine is most likely to produce an acceptable cork?Justify your answer
b. Of the 1200 corks cut by the second machine in a working day,approximately, how many are not acceptable?

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