7th Edition

ISBN: 8220100547560

Author: BRASE

Publisher: CENGAGE L

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 9, Problem 5CRP

Normal Approximation to the Binomial the majority of house burglars simply walk into a house that is unlocked! In fact, about 57% of all house burglars gain entrance through an unlocked window or door (Reference: The Book of Risks by Larry Laudan). Suppose that n = 129 house burglaries will occur tomorrow in Los Angeles. Let r be a binomial random variable that represent, the number of burglaries that required no forced entrance.

(a) We want to approximate the binomial random variable r by a normal random variables r by a normal random variable x. Is this appropriate? What requirements must be satisfied before we can do this? Do you think these requirements are satisfied in this case? Explain.

(b) Compute µ and σ for the normal approximation.

Chapter 9, Problem 5CRP, Normal Approximation to the Binomial the majority of house burglars simply walk into a house that is

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 9, Problem 4CRP

Chapter 9, Problem 6CRP

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Chapter 9 Solutions

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Solution Summary: The author explains how to approximate the binomial random variable r by a normal distribution. The formula for the normal approximation is 73.53 and 5.623.

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