Of the emails you receive 20% are spam on average. Your spam filter is able to detect 90% of them but also misclassifies as spam 15% of the genuine emails. If an email arrives and is marked spam, what is the probability that it really is spam? If an email arrives and is not marked spam, what is the probability that it is legitimate? Can you walk me through solving his please?

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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Of the emails you receive 20% are spam on average. Your spam filter is able to detect 90% of them but also misclassifies as spam 15% of the genuine emails.

  1. If an email arrives and is marked spam, what is the probability that it really is spam?
  2. If an email arrives and is not marked spam, what is the probability that it is legitimate?

Can you walk me through solving his please?

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