A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 195.2-cm and a standard deviation of 1-cm. For shipment, 9 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 195.2 1 b. What is the distribution of ? ī - N 195.2 c. For a single randomly selected steel rod, find the probability that the length is between 194.9-cm and 195.4-cm. 0.1972 0.3333 d. For a bundled of 9 rods, find the probability that the average length is between 194.9-cm and 195.4- cm. e. For part d), is the assumption of normal necessary? O YesO No

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