Question: 13. A spam filter is designed based on common words and phrases3. Suppose that 75% of email is spam (and so 25% of email is

13. A spam filter is designed based on common words and phrases3. Suppose that 75% of email is spam (and so 25% of email is not spam). In 25% of spam emails, the phrase \"congratulations\" is used, whereas this phrase is used in only 10% of nonspam emails. A new email has just arrived, which includes the word "congratulations\". What is the probability that this email is spam

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