The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters separate spam from ham (email not considered to be spam) through...

Extracted text: The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters separate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one email account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam email are given below. shipping! 0.049 today! 0.044 here! 0.035 available 0.012 fingertips! 0.012 Also suppose that the proportions of ham messages that have these words are shipping! 0.0013 today! 0.0023 here! 0.0023 available 0.0039 fingertips! 0.0010 Round your answers to three decimal places.


Extracted text: a. If a message includes the word shipping!, what is the probability the message is spam? .80 If a message includes the word shipping!, what is the probability the message is ham? .19 Should messages that include the word shipping! be flagged as spam? Yes b. If a message includes the word today!, what is the probability the message is spam? If a message includes the word here!, what is the probability the message is spam? Which of these two words is a stronger indicator that a message is spam? - Select your answer Why? Because the probability is - Select your answer - c. If a message includes the word available, what is the probability the message is spam? If a message includes the word fingertips!, what is the probability the message is spam? Which of these two words is a stronger indicator that a message is spam? - Select your answer Why? Because the probability is - Select your answer - d. What insights do the results of parts (b) and (c) yield about what enables a spam filter that uses Bayes' theorem to work effectively? Explain. It is easier to distinguish spam from ham when a word occurs - Select your answer - v in spam and less often in ham.