A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 257.2-cm and a standard deviation of 1.5-cm. For shipment, 12 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 257.7-cm and 258.1-cm.
P(257.7-cm < M < 258.1-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.