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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 112.4-cm and a standard deviation of 2.5-cm.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 112.4-cm and a standard deviation of 2.5-cm. For shipment, 30 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 111.3-cm. P(M > 111.3-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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