In: Statistics and Probability
A company manufactures rods whose diameters are normally distributed with a mean of 5 mm and a standard deviation of 0.05 mm. It also drills holes to receive the rods and the diameters of these holes are normally distributed with a mean of 5.2 mm and a standard deviation of 0.07 mm. The rods are allocated to the holes at random. What proportion of rods will fit into the holes?