Acompanyr produces steel rods. The lengths of the steel rods are normally.r distributed with a mean of 146.9-cm and a standard deviation of [Lo-cm. For shipment, 39 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N{| || |] . . I} c. For a single randomly selected steel rod, find the probability that the length is between 146.8-cm and 145.9cm. I I b. 1Ii'Ii'hat is the distribution of E? {E .. Nil 1 d. For a bundled of 39 rods, find the probability that the average length is between 146.3-cm and 145.9-cm. | | e. For part d}. is the assumption of normal necessary? Q NDO 'r'es