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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
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?
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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