An email filter is planned to separate valid e-mails from spam. The word free occurs in 80% of the spam messages and only 7% of the valid messages. Also, 14% of the messages are spam. (a) If an email message is randomly selected, find the probability that it is spam, given that it contains the word free. (b) If an email message is randomly selected, find the probability that it is valid, given that it does not contain the word free.
An email filter is planned to separate valid e-mails from spam. The word free occurs in 80% of the spam messages and only 7% of the valid messages. Also, 14% of the messages are spam. (a) If an email message is randomly selected, find the probability that it is spam, given that it contains the word free. (b) If an email message is randomly selected, find the probability that it is valid, given that it does not contain the word free.
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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