A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 210.2-cm and a standard deviation of 2.3-cm. For shipment, 13 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 209.8-cm and 210.7-cm. For a bundled of 13 rods, find the probability that the average length is between 209.8-cm and 210.7-cm.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 210.2-cm and a standard deviation of 2.3-cm. For shipment, 13 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 209.8-cm and 210.7-cm. For a bundled of 13 rods, find the probability that the average length is between 209.8-cm and 210.7-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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question 8

What is the distribution of XX? XX ~ N(,)

For a single randomly selected steel rod, find the probability that the length is between 209.8-cm and 210.7-cm.
For a bundled of 13 rods, find the probability that the average length is between 209.8-cm and 210.7-cm.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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