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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 191.1-cm and a standard deviation of 0.5-cm.

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 191.1-cm and a standard deviation of 0.5-cm. For shipment, 16 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ MC], :1) b. What is the distribution of 5:? 5 ~ MC], Cl c. For a single randomly selected steel rod, find the probability that the length is between 191.2-cm and d. For a bundled of 16 rods, find the probability that the average length is between 191.2-cm and 191 .3

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