For questions 1-3, suppose that l 5% of spam messages that you receive contain t

Question

For questions 1-3, suppose that l 5% of spam messages that you receive contain the word greeting" and 1% of non-spam messages that you receive contain the word "greeting" Also suppose that 25% ofthe messages that you receive are spam 1. Produce a table of 1000 hypothetical e-mail messages, classified according to (whether or not the message is spam) and (whether or not the message contains the word "greeting") 2. According to the given percentages, what percentage of e-mail messages that you receive contain the word "greeting"? 3. Given that a randomly selected e-mail message contains the word "greeting," what is the probability that the message is spam?

Explanation / Answer

For questions 1-3, suppose that l 5% of spam messages that you receive contain the word greeting" and 1% of non-spam messages that you receive contain the word "greeting" Also suppose that 25% ofthe messages that you receive are spam 1. Produce a table of 1000 hypothetical e-mail messages, classified according to (whether or not the message is spam) and (whether or not the message contains the word "greeting") 2. According to the given percentages, what percentage of e-mail messages that you receive contain the word "greeting"? 3. Given that a randomly selected e-mail message contains the word "greeting," what is the probability that the message is spam?

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