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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 174.4-cm and a standard deviation of 1-cm.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 174.4-cm and a standard deviation of 1-cm. For shipment, 29 steel rods are bundled together.

Find the probability that the average length of the rods in a randomly selected bundle is between 174-cm and 174.6-cm.

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