A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 193.2-cm and a standard deviation of 2.4-cm. For shipment, 8 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of X? X ~ N(,)

What is the distribution of ¯x? ¯x~ N(,)

For a single randomly selected steel rod, find the probability that the length is between 192.1-cm and 192.8-cm.

For a bundled of 8 rods, find the probability that the average length is between 192.1-cm and 192.8-cm.