A company produces steel rods. The lengths of the steel rods are distributed with a mean of 217.5-cm and a standard deviation of 1.8-cm. For shipment, 18 steel rods are bundled together. Round all answers to four decimal places if necessary. Note: When writing the distributions, they should be of the form (mean, variance) a. What is the distribution of X? b. What is the distribution of x? ~ N( c. For a single randomly selected steel rod, find the probability that the length is between 217.2-cm and 217.8-cm.

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