Question

Steel rods are manufactured with a mean length of 20 centimeter. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviatation of 0.05cm.

a) What proportion of rods has a length less than 19.9cm?

b) Any rods that are shorter than 19.88 cm or longer than 20.12 cm are discarded. What proportion of rods will be discarded

c) Using the results of part b of 15000 rods are manufactured in a day how many should the plant manager expect to discard?

D) If an order comes in for 10,000 steel rods how many rods should the plant manager expect to manufacture if the order states that all rods must be between 19.9 cm and 20.1 cm

Answer 1

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