A company produces steel rods. The length of the steel rods are normally distributed with a mean of 246.5 cm and a standard deviation of 1.3 cm. For shipment, 39 steel rods are bundled together. Round all answers to four decimal places if necessary.  For a single randomly selected steelnrod, find the probability that the length is between 246.2cm and 246.5 cm.  For a bundled of 39 rods, find the probability that the average length is between 246.2cm and 246.5 cm.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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A company produces steel rods. The length of the steel rods are normally distributed with a mean of 246.5 cm and a standard deviation of 1.3 cm. For shipment, 39 steel rods are bundled together. Round all answers to four decimal places if necessary. 

For a single randomly selected steelnrod, find the probability that the length is between 246.2cm and 246.5 cm. 

For a bundled of 39 rods, find the probability that the average length is between 246.2cm and 246.5 cm.

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