Aconstruction firm requires steel rods that are at least 5 meters in length. the rods are purchased in lots of 20,000. the vendor for these rods claims that its production process yields rods with a mean of 5.020 meters and a standard deviation of 0.060 meters. to determine whether the lots meet the required quality standards, 100 rods are randomly sampled from each incoming lot and the mean length of rods in the sample is calculated. the quality manager has decided to accept lots whose sample mean is 5.010 meters or more. assuming that the vendor’s claim is true, what is the probability that the manager accepts a particular lot, based on a sample of 100 rods