Steel rods are manufactured with a mean length of 24 centimeter(cm). Because of variability in the manufacturingprocess, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08 cm.

(b) Any rods that are shorter than 23.82 cm or longer than 24.18 cm are discarded. What proportion of rods will bediscarded?

(Round to four decimal places asneeded.)

(c) Using the results of part (b), if 5000 rods are manufactured in aday, how many should the plant manager expect todiscard?

(Use the answer from part b to find this answer. Round to the nearest integer asneeded.)

(d) If an order comes in for 10,000 steelrods, how many rods should the plant manager expect to manufacture if the order states that all rods must be between 23.9 cm and 24.1 cm?

(Round up to the nearestinteger.)