Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Textbook Question

Chapter 5.5, Problem 26E

Approximating Binomial Probabilities In Exercises 19-26, determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. Identify any unusual events. Explain.

26. College Graduates Fourteen percent of U.S. college graduates want to work for a large company. You randomly select 1500 U.S. college graduates and ask them whether they want to work for a large company. Find the probability that the number who want to work for a large company is (a) exactly 175, (b) no more than 225, and (c) at most 200. (Source: Accenture)

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 5.5, Problem 25E

Chapter 5.5, Problem 27E

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Chapter 5 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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Solution Summary: The author explains that the normal distribution can be used to approximate the binomial distribution. The sample size is n=1500 and the number of college graduates want to work for a large company is 175.

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