Identifying Spam Text Messages Bayes' rule can be used to ldentify and filter spam emails and text messages. This question refers to a large collection of real SMS text messages from participating cellphone users.' In this collection, 747 of the 5574 total messages (13.40%) are identified as spam. The word "free" is contained in 4.75% of all messages, and 3.57% of all messages both contain the word "free" and are marked as spam. The word "text" (or "txt") is contained in 7.01% of all messages, and in 38.55% of all spam messages. Of all spam messages, 17.00% contain both the word "free" and the word "text" (or "txt"). For example, "Congrats!! You are selected to receive a free camera phone, txt ******* to claim your prize." Of all non-spam messages, 0.06% contain both the word "free" and the word "text" (or "txt"). Given that a message contains the word "free" but does NOT contain the word "text" (or "txt"), what is the probability that it is spam? Round your answer to three decimal places. P(Spam if Free and not Text) =

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Chapter P, Section 2, Exercise 062
Identifying Spam Text Messages
Bayes' rule can be used to identify and filter spam emails and text messages. This question refers to a large collection of real SMS text messages from participating cellphone users.' In this collection,
747 of the 5574 total messages (13.40%) are identified as spam. The word "free" is contained in 4.75% of all messages, and 3.57% of all messages both contain the word "free" and are marked as
spam. The word "text" (or "txt") is contained in 7.01% of all messages, and in 38.55% of all spam messages. Of all spam messages, 17.00% contain both the word "free" and the word "text" (or
"txt"). For example, "Congrats!! You are selected to receive a free camera phone, txt ******* to claim your prize." Of all non-spam messages, 0.06% contain both the word "free" and the word
"text" (or "txt").
1
tion 1,
tion 1,
%3D
tion 1,
tion 1,
Given that a message contains the word "free" but does NOT contain the word "text" (or "txt"), what is the probability that it is spam?
tion 1,
Round your answer to three decimal places.
tion 1,
P(Spam if Free and not Text) =
%3D
tion 1,
tion 1,
'Almeida, T., Hidalgo, J., Yamakami, A., "Contributions to the Study of SMS Spam Filtering: New Collection and Results," Proceedings of the 2011 ACM Symposium on Document Engineering
(DOCENG'11), Association for Computing Machinery, Mountain View, CA, 2011.
%3D
tion 1,
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the absolute tolerance is +/-0.001
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Transcribed Image Text:A edugen.wileyplus.com WileyPLUS Final Project PLUS Lock, Statistics: Unlocking the Power of Data, 2e Help | System Announcements 4 ВАСК NEXT PRINTER VERSION Chapter P, Section 2, Exercise 062 Identifying Spam Text Messages Bayes' rule can be used to identify and filter spam emails and text messages. This question refers to a large collection of real SMS text messages from participating cellphone users.' In this collection, 747 of the 5574 total messages (13.40%) are identified as spam. The word "free" is contained in 4.75% of all messages, and 3.57% of all messages both contain the word "free" and are marked as spam. The word "text" (or "txt") is contained in 7.01% of all messages, and in 38.55% of all spam messages. Of all spam messages, 17.00% contain both the word "free" and the word "text" (or "txt"). For example, "Congrats!! You are selected to receive a free camera phone, txt ******* to claim your prize." Of all non-spam messages, 0.06% contain both the word "free" and the word "text" (or "txt"). 1 tion 1, tion 1, %3D tion 1, tion 1, Given that a message contains the word "free" but does NOT contain the word "text" (or "txt"), what is the probability that it is spam? tion 1, Round your answer to three decimal places. tion 1, P(Spam if Free and not Text) = %3D tion 1, tion 1, 'Almeida, T., Hidalgo, J., Yamakami, A., "Contributions to the Study of SMS Spam Filtering: New Collection and Results," Proceedings of the 2011 ACM Symposium on Document Engineering (DOCENG'11), Association for Computing Machinery, Mountain View, CA, 2011. %3D tion 1, ion 1, the absolute tolerance is +/-0.001 Eion 1, Click if you would like to Show Work for this question: Open Show Work ion 1, ion 2, By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. ion 2, Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER ion 2, Earn Maximum Points available only if you answer this question correctly in four attempts or less. Fion 2, 0% cion 2, ion 2, zion 2, powered by MapleNet tion 2, tion 3, tion 3,
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