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. 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 "bxt"). Given that a message contains both the word "free" and the word "text" (or "txt"), what is the probability that it is spam? Round your answer to three decimal places. P(Spam if Text and Free) = i '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.

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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. 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 "bxt").
Given that a message contains both the word "free" and the word "text" (or "txt"), what is the probability that it is spam?
Round your answer to three decimal places.
P(Spam if Text and Free) = i
'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.
Transcribed Image Text: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. 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 "bxt"). Given that a message contains both the word "free" and the word "text" (or "txt"), what is the probability that it is spam? Round your answer to three decimal places. P(Spam if Text and Free) = i '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.
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