A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 182.1- cm and a standard deviation of 1-cm. For shipment, 38 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 z? - N c. For a single randomly selected steel rod, find the probabiltity that the length is between 182-cm and 182.1-cm. d. For a bundled of 38 rods, find the probability that the average length is between 182-cm and 182.1-cm. 2311 e. For part d), is the assumption of normal necessary? YesO No
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 182.1- cm and a standard deviation of 1-cm. For shipment, 38 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 z? - N c. For a single randomly selected steel rod, find the probabiltity that the length is between 182-cm and 182.1-cm. d. For a bundled of 38 rods, find the probability that the average length is between 182-cm and 182.1-cm. 2311 e. For part d), is the assumption of normal necessary? YesO No
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 182.1-
cm and a standard deviation of 1-cm. For shipment, 38 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 a? a - N
c. For a single randomly selected steel rod, find the probability that the length is between 182-cm and
182.1-cm.
d. For a bundled of 38 rods, find the probability that the average length is between 182-cm and 182.1-cm.
2311
e. For part d), is the assumption of normal necessary? Yeso No
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