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....

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 mean 3.04 cm and standard deviation .02 cm. Acceptable corks
have diameters between 2.9 cm and 3.1 cm. Which machine is more
likely to produce an acceptable cork?