Question

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.

The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filteb. If a message includes the word today!, what is the probability the message is spam? If a message includes the word here!,

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Answer #1

a)P(Spam |shipping) =0.1*0.049/0.1*0.049+0.9*0.0013)=0.807

P(ham| |shipping) =1-0.807 =0.193

yes

b)P(Spam |today) =0.676

P(Spam |here) =0.604

today

because the probability is higher

c)

P(spam |available) =0.270

P(spam |fingertips) =0.546

fingertips

(please provide options for other parts)

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