any produces steel rods. The lengths of the steel rods are normally distributed with a mean of m and a standard deviation of 2.1-cm. For shipment, 18 steel rods are bundled together. Round all s to four decimal places if necessary. Vhat is the distribution of X? X - N( Vhat is the distribution of ? ¤ - N( or a single randomly selected steel rod, find the probability that the length is between 189.1-cm nd 189.6-cm. or a bundled of 18 rods, find the probability that the average length is between 189.1-cm and 89.6-cm.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
189.6-cm and a standard deviation of 2.1-cm. For shipment, 18 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X - N(
b. What is the distribution of x? - N(
c. For a single randomly selected steel rod, find the probability that the length is between 189.1-cm
and 189.6-cm.
d. For a bundled of 18 rods, find the probability that the average length is between 189.1-cm and
189.6-cm.
Transcribed Image Text:company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 189.6-cm and a standard deviation of 2.1-cm. For shipment, 18 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of x? - N( c. For a single randomly selected steel rod, find the probability that the length is between 189.1-cm and 189.6-cm. d. For a bundled of 18 rods, find the probability that the average length is between 189.1-cm and 189.6-cm.
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