A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 244.2-cm and a standard deviation of 2.2-cm. For shipment, 38 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 243.7-cm and 243.9-cm. For a bundled of 38 rods, find the probability that the average length is between 243.7-cm and 243.9-cm. For part d), is the assumption of normal necessary? No Yes
