A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 264.1-cm and a standard deviation of 1-cm. For shipment, 11 steel rods are bundled together. Round...

Extracted text: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 264.1-cm and a standard deviation of 1-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 a? a - N( c. For a single randomly selected steel rod, find the probability that the length is between 264.2-cm and 264.4-cm. d. For a bundled of 11 rods, find the probability that the average length is between 264.2-cm and 264.4-cm. e. For part d), is the assumption of normal necessary? O YesO No