A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together. Find...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together.


Find the probability that the average length of a randomly selected bundle of steel rods is greater than 176.2-cm.

P(M
> 176.2-cm) = ________


Enter your answer as a number accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.