A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144.6-cm and a standard deviation of 1.7-cm. For shipment, 17 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 144.4-cm and 145.7-cm.  P(144.4-cm < M < 145.7-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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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 144.6-cm and a standard deviation of 1.7-cm. For shipment, 17 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is between 144.4-cm and 145.7-cm. 
P(144.4-cm < M < 145.7-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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