A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 249.2-cm and a standard deviation of 2.2-cm. For shipment, 25 steel rods are bundled together.

Find the probability that the average length of rods in a randomly selected bundle of steel rods is less than 249.8-cm.

P(X\displaystyle \overline{{X}} < 249.8-cm) =

Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.