A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 166.6-cm and a standard deviation of 2.2-cm. For shipment, 11 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of 2? ~ ~ N( c. For a single randomly selected steel rod, find the probability that the length is between 165.9-cm and 166.2-cm. d. For a bundled of 11 rods, find the probability that the average length is between 165.9-cm and 166.2-cm. e. For part d), is the assumption of normal necessary? @) No Yes