A process manufactures ball bearings with diameters that are normally distributed with mean \(25.1 \mathrm{~mm}\) and standard deviation \(0.08 \mathrm{~mm}\).

a. What proportion of the diameters are less than \(25.0 \mathrm{~mm}\) ?

b. Find the 10th percentile of the diameters.

c. A particular ball bearing has a diameter of \(25.2 \mathrm{~mm}\). What percentile is its diameter on?

d. To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportion of the ball bearings meet the specification?