It is estimated that 50% of chata are spam chats. Some software has been applied to filter these spam chats before they reach your inbox. A certain brand of software claims that it can detect 99% of spam chats, and the probability for a false positive (a non-spam chats detected as chat is 5%. Now if a chat is detected as spam, then what is the probability that it is in fact a non-spam chat?

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 50% of chata are spam chats. Some software has been applied to filter these spam chats before they reach your inbox. A certain brand of software claims that it can detect 99% of spam chats, and the probability for a false positive (a non-spam chats detected as chat is 5%. Now if a chat is detected as spam, then what is the probability that it is in fact a non-spam chat?
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