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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.8-cm and a standard deviation of 2.2-cm.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.8-cm and a standard deviation of 2.2-cm. For shipment, 29 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is between 175.6-cm and 176.6-cm.

P(175.6-cm <M< 176.6-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.

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