13th Edition

ISBN: 9780135960912

Author: MCCLAVE

Publisher: PEARSON CO

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Textbook Question

Chapter 4.6, Problem 4.92LM

The random variable x has a normal distribution with µ − 1,000 and σ − 10.

a. Find the probability that x assumes a value more than 2 standard deviations from its mean. More than 3 standard deviations from µ.
b. Find the probability that x assumes a value within 1 standard deviation of its mean. Within 2 standard deviations of µ.
c. Find the value of x that represents the 80th percentile of this distribution. The 10th percentile.

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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Chapter 4.6, Problem 4.91LM

Chapter 4.6, Problem 4.93LM

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Solution Summary: The author explains the probability that X assumes a value more than 2 standard deviations from its mean.

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