A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4- cm and a standard deviation of 1-cm. For shipment, 35 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X-NO 211.4 1 b. What is the distribution of a?a NO 211.4 c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and 211.5-cm. 0.119 d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5- cm. e. For part d), is the assumption of normal necessary? O Yes No > Next Question
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4- cm and a standard deviation of 1-cm. For shipment, 35 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X-NO 211.4 1 b. What is the distribution of a?a NO 211.4 c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and 211.5-cm. 0.119 d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5- cm. e. For part d), is the assumption of normal necessary? O Yes No > Next Question
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 211.4-
cm and a standard deviation of 1-cm. For shipment, 35 steel rods are bundled together. Round all answers to
four decimal places if necessary.
a. What is the distribution of X? X-NO 211.4 1
b. What is the distribution of a? - N( 211.4
c. For a single randomly selected steel rod, find the probability that the length is between 211.2-cm and
211.5-cm. 0.119
d. For a bundled of 35 rods, find the probability that the average length is between 211.2-cm and 211.5-
cm.
e. For part d), is the assumption of normal necessary? Yes No
> Next Question
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VIEWStep 2: Find the distribution of X.
VIEWStep 3: Find the distribution of xbar.
VIEWStep 4: Find the probability of a randomly selected rod.
VIEWStep 5: Find the probability for average length of 35 rods.
VIEWStep 6: Check whether the assumption of normality is necessary for part ( d ) or not.
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