There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation .1 cm. The second machine produces corks with diameters that have a normal distribution with a mean of 3.04 cm and a standard deviation of 0.02 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm.
Which machine is more likely to produce an acceptable cork?