filter is designed with the knowledge that 95% of all email is spam. The designers of the filter A spam also know that 78% of spam messages contain the word "buy," whereas only 6% of non-spam messages contain the word "buy." A filter rejects a message because it contains this word. Find the probability that the message was spam. (n = 1,000)_ %3D

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A spam filter is designed with the knowledge that 95% of all email is spam. The designers of the filter
also know that 78% of spam messages contain the word "buy," whereas only 6% of non-spam messages
contain the word "buy." A filter rejects a message because it contains this word. Find the probability
that the message was spam. (n = 1,000).
%3D
Transcribed Image Text:A spam filter is designed with the knowledge that 95% of all email is spam. The designers of the filter also know that 78% of spam messages contain the word "buy," whereas only 6% of non-spam messages contain the word "buy." A filter rejects a message because it contains this word. Find the probability that the message was spam. (n = 1,000). %3D
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