A machine produces rubber balls whose diameters are normally distributed with mean 5.50 cm and standard deviation 0.08 cm. The balls are packed in cylindrical tubes whose internal diameters are normally distributed with mean 5.70 cm and standard deviation 0.12 cm. If a ball, selected at random, is placed in a tube, selected at random, what is the distribution of the clearance? (The clearance is the internal diameter of the tube minus the diameter of the ball.) What is the probability that the clearance is between 0.05 cm and 0.25 cm?