Suppose a Bayesian spam filter is trained on a set of 100,000 spam emails and 4,000 emails that are not spam. The word "money" appears in 2,500 spam emails and 200 nonspam emails, the word "urgent" appears in 8,000 spam emails and 800 nonspam emails, the word "attention" appears in 20,000 spam emails and 80 nonspam emails, and the word "account" appears in 10,000 spam emails and 100 nonspam emails. Estimate the probability that a received email containing all four words of "money", "urgent", "attention", and "account" is spam. Will the email be rejected as spam if the threshold for rejecting spam is set at 80%?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
2)
Suppose a Bayesian spam filter is trained on a set of 100,000 spam emails and 4,000 emails that are not
spam. The word “money" appears in 2,500 spam emails and 200 nonspam emails, the word “urgent"
appears in 8,000 spam emails and 800 nonspam emails, the word "attention" appears in 20,000 spam
emails and 80 nonspam emails, and the word "account" appears in 10,000 spam emails and 100 nonspam
emails. Estimate the probability that a received email containing all four words of "money", "urgent",
"attention", and "account" is spam. Will the email be rejected as spam if the threshold for rejecting spam
is set at 80%?
Transcribed Image Text:2) Suppose a Bayesian spam filter is trained on a set of 100,000 spam emails and 4,000 emails that are not spam. The word “money" appears in 2,500 spam emails and 200 nonspam emails, the word “urgent" appears in 8,000 spam emails and 800 nonspam emails, the word "attention" appears in 20,000 spam emails and 80 nonspam emails, and the word "account" appears in 10,000 spam emails and 100 nonspam emails. Estimate the probability that a received email containing all four words of "money", "urgent", "attention", and "account" is spam. Will the email be rejected as spam if the threshold for rejecting spam is set at 80%?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Single source shortest path
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education