The ABC Manufacturing Corporation produces steel rods. Due to manufacturing defects, there is

some small variation in the lengths of the rods.

The lengths of the rods have a Normal distribution

with mean

cm. and standard deviation

cm. Suppose one steel rod is randomly

selected from a batch and measured.

For each problem #1 – 3, show any relevant z-score calculation, draw a normal curve, label the mean

of the distribution, and shade in the region that illustrates the area representing the given probability.

1. Find the probability that a randomly-selected steel rod has a length less than 24.90 cm. (3 pts)