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Suppose that a bayesian spam filter is trained on a set of

Question: Suppose that a Bayesian spam filter is trained on a set of 500 spam messages and 200 messages that are not spam. The word "exciting" appears in 40 spam messages and in 25 messages that are not spam. Would an incoming message be rejected as spam if it contains the word "exciting" and the threshold for rejecting spam is 0.9?

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Mathematics: Suppose that a bayesian spam filter is trained on a set of

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