A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 219.1-cm and a standard deviation of 2.5-cm. For shipment, 12 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 220.4-cm. P(M > 220.4-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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 219.1-cm and a standard deviation of 2.5-cm. For shipment, 12 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is greater than 220.4-cm.
P(M > 220.4-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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