Steel rods are manufactured with a mean length of 26 centimeter(cm). Because of variability in the manufacturingprocess, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d).

(a) What proportion of rods has a length less than 25.9 cm? .0228

(b) Any rods that are shorter than 25.88 cm or longer than 26.12 cm are discarded. What proportion of rods will bediscarded? (Round to four decimal places asneeded.)