TIle inside diameter of a cylinder is normally distributed with a mean of 1 cm and a standard deviation of .01 em. A solid rod is assembled inside eaeh cylinder. The diameter of the rod is also normally distributed with a mean of .99 cm and a standard deviation of

.01 cm. Determine the percentage of rod-cylinder pairs that will not fit in an assembly.

(Hint: The difference between two normal random variables is also normal.)