A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 126.8-cm and a standard deviation of 1-cm. For shipment, 25 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 127.4-cm. P(M < 127.4-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.

Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 126.8-cm and a standard deviation of 1-cm. For shipment, 25 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 127.4-cm.
P(M < 127.4-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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