A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 2 cm and standard deviation 0.1 cm.
The specifications call for corks with diameters between 1.9 and 2.1 cm. A cork not meeting the specifications is considered defective. (A cork that is too small leaks and causes the wine to deteriorate; a cork that is too large doesn''t fit in the bottle.)
What proportion of corks produced by this machine are defective? (Round the answer to four decimal places.)