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Probability
It is estimated that 63% of emails are non-spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99.5% of spam emails, and the probability for a non-spam email detected as spam is 1.8%. If an email is detected as spam, what is the probability that it is in fact a non-spam email?

It is estimated that 63% of emails are non-spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99.5% of spam emails, and the probability for a non-spam email detected as spam is 1.8%. If an email is detected as spam, what is the probability that it is in fact a non-spam email?

A First Course in Probability (10th Edition)
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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It is estimated that 63% of emails are non-spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99.5% of spam emails, and the probability for a non-spam email detected as spam is 1.8%. If an email is detected as spam, what is the probability that it is in fact a non-spam email?
Transcribed Image Text:It is estimated that 63% of emails are non-spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99.5% of spam emails, and the probability for a non-spam email detected as spam is 1.8%. If an email is detected as spam, what is the probability that it is in fact a non-spam email?
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