Solved: A spam filter is designed by looking at commonly occurring, Basic Statistics

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A spam filter is designed by looking at commonly occurring

Question: A spam filter is designed by looking at commonly occurring phrases in spam. Suppose that 80% of email is spam. In 10% of the spam emails, the phrase "free money" is used, whereas this phrase is only used in 1% of non-spam emails. A new email has just arrived, which does mention "free money". What is the probability that it is spam?

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Basic Statistics: A spam filter is designed by looking at commonly occurring

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