Question

Steel rods are manufactured with a mean length of 25 centimeter (cm). because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.3 cm. any rods that are shorter than 24.5 cm or longer than 25.5 cm are discarded. what proportion of rods will be discarded?

Answer 1

Approximately 2.5% of the rods will be discarded.

Step-by-step explanation:

To find out what proportion of the rods will be discarded, we need to calculate the area under the normal distribution curve outside the range of 24.5 cm to 25.5 cm. We can use a standard normal distribution table or a calculator to find this area. Using either method, we find that the area is approximately 0.025, or 2.5%.