2. An email spam filter applies the test to each incoming email.Suppose 80% of all emails are spam, 95% of spam emails are declared spam by the filter test, and 5% of genuine emails are declared spam by the filter test. Calculate the probability that an incoming email will be declared spam, and the probability of a 'false positive': the probability that an email that is declared to be spam is in fact genuine.

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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2. An email spam filter applies the test to each incoming email. Suppose 80% of all emails are spam,
95% of spam emails are declared spam by the filter test, and 5% of genuine emails are declared
spam by the filter test. Calculate the probability that an incoming email will be declared spam, and
the probability of a 'false positive': the probability that an email that is declared to be spam is in
fact genuine.
Transcribed Image Text:2. An email spam filter applies the test to each incoming email. Suppose 80% of all emails are spam, 95% of spam emails are declared spam by the filter test, and 5% of genuine emails are declared spam by the filter test. Calculate the probability that an incoming email will be declared spam, and the probability of a 'false positive': the probability that an email that is declared to be spam is in fact genuine.
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