A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 152.1-cm and a standard deviation of 2.2-cm. For shipment, 17 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 ? - N c. For a single randomly selected steel rod, find the probability that the length is between 151.7- cm and 152.2-cm. d. For a bundled of 17 rods, find the probability that the average length is between 151.7-cm and 152.2-cm. e. For part d), is the assumption of normal necessary? Yes No

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