Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
7th Edition
ISBN: 9781337298353
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: South-Western College Pub
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Chapter 4, Problem 60SE
A study reported by Forbes indicated that the five most common words appearing in spam
e-mails are shipping!, today!, here!, available, and fingertips! Many spam filters separate spam from ham (e-mail not considered to be spam) through application of Bayes' theorem. Suppose that for one e-mail account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam e-mail are given below.
shipping! .051
today ! .045
here! .034
available .014
fingertips ! .014
Also suppose that the proportions of ham messages that have these words are
shipping! .0015
today ! .0022
here! .0022
available .041
fingertips ! .041
- If a message includes the word shipping!, what is the
probability the message is spam? If a message includes the word shipping!, what is the probability the message is ham? Should messages that include the word shipping! be flagged as spam? - If a message includes the word today!, what is the probability the message is spam? If a message includes the word here!, what is the probability the message is spam? Which of these two words is a stronger indicator that a message is spam? Why?
- If a message includes the word available, what is the probability the message is spam? If a message includes the word fingertips!, what is the probability the message is spam? Which of these two words is a stronger indicator that a message is spam? Why?
- What insights do the results of parts (b) and (c) yield about what enables a spam filter that uses Bayes' theorem to work effectively?
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Chapter 4 Solutions
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 4.1 - An experiment has three steps with three outcomes...Ch. 4.1 - How many ways can three items be selected from a...Ch. 4.1 - Prob. 3ECh. 4.1 - Consider the experiment of tossing a coin three...Ch. 4.1 - Suppose an experiment has five equally likely...Ch. 4.1 - An experiment with three outcomes has been...Ch. 4.1 - Prob. 7ECh. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - The following table shows the percentage of...
Ch. 4.1 - A Gallup Poll of U.S. adults indicated that...Ch. 4.1 - The Powerball lottery is played twice each week in...Ch. 4.1 - A company that manufactures toothpaste is studying...Ch. 4.2 - Prob. 14ECh. 4.2 - Consider the experiment of selecting a playing...Ch. 4.2 - Consider the experiment of rolling a pair of dice....Ch. 4.2 - Refer to the KP&L sample points and sample point...Ch. 4.2 - Prob. 18ECh. 4.2 - Do you think global warming will have an impact on...Ch. 4.2 - Junior Achievement USA and the Allstate Foundation...Ch. 4.2 - Data on U S. work-related fatalities by cause...Ch. 4.3 - Prob. 22ECh. 4.3 - Suppose that we have a sample space...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - Prob. 25ECh. 4.3 - Information about mutual funds provided by...Ch. 4.3 - Prob. 27ECh. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - Prob. 29ECh. 4.4 - Suppose that we have two events, A and B, with...Ch. 4.4 - Prob. 31ECh. 4.4 - Consider the following example survey results of...Ch. 4.4 - Prob. 33ECh. 4.4 - The Bureau of Transportation Statistics reports...Ch. 4.4 - To better understand how husbands and wives feel...Ch. 4.4 - Prob. 36ECh. 4.4 - A joint survey by Parade magazine and Yahoo! found...Ch. 4.4 - The Institute for Higher Education Policy, a...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - Prob. 40ECh. 4.5 - A consulting firm submitted a bid for a large...Ch. 4.5 - A local bank reviewed its credit card policy with...Ch. 4.5 - In August 2012, tropical storm Isaac formed in the...Ch. 4.5 - ParFore created a website to market golf equipment...Ch. 4.5 - The percentage of adult users of the Internet who...Ch. 4 - A USA Today survey of adults aged 18 and older...Ch. 4 - A financial manager made two new investments—one...Ch. 4 - Below are the results of a survey of 1364...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - Prob. 50SECh. 4 - Prob. 51SECh. 4 - Prob. 52SECh. 4 - Refer again to the data from the MBA new...Ch. 4 - The Pew Internet & American Life project conducted...Ch. 4 - A large consumer goods company ran a television...Ch. 4 - Cooper Realty is a small real estate company...Ch. 4 - A company studied the number of lost-time...Ch. 4 - According to the Open Doors Report, 9.5% of all...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - A study reported by Forbes indicated that the five...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.2CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.5CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.7CPCh. 4 - Prob. 4.2.8CPCh. 4 - Prob. 4.2.9CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...
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