A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round
answers to four decimal places if necessary.
a. What is the distribution of X? X N( 232.3
0.6
b. What is the distribution of ? a - N( 232.3
0.1664
c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm
and 232.5-cm. 0.0618
d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and
232.5-cm. 0.079
e. For part d), is the assumption of normal necessary? O YesO No o Yes
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round
answers to four decimal places if necessary.
a. What is the distribution of X? X N( 232.3
0.6
b. What is the distribution of ? a - N( 232.3
0.1664
c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm
and 232.5-cm. 0.0618
d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and
232.5-cm. 0.079
e. For part d), is the assumption of normal necessary? O YesO No o Yes
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