A spam filer is designed by screening commonly occurring phrases in spam. Suppose that 60% of email is spam. In 20% of the spam emails, the phrase “free gift card” is used. In non-spam emails, 99.5% of them do not mention “free gift card”. What is the probability that a newly arrived email which does mention “free gift card”, is not spam?
A spam filer is designed by screening commonly occurring phrases in spam. Suppose that 60% of email is spam. In 20% of the spam emails, the phrase “free gift card” is used. In non-spam emails, 99.5% of them do not mention “free gift card”. What is the probability that a newly arrived email which does mention “free gift card”, is not spam?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A spam filer is designed by screening commonly occurring phrases in spam. Suppose that 60% of
email is spam. In 20% of the spam emails, the phrase “free gift card” is used. In non-spam emails,
99.5% of them do not mention “free gift card”. What is the
which does mention “free gift card”, is not spam?
Expert Solution
Step 1
It is given that 60% of email is spam and in 20% of the spam emails, the phrase “free gift card” is used.
99.5% of the non-spam emails do not mention “free gift card”.
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