The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filtersseparate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one emailaccount, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spamemail are given below.shipping!0.049today!0.044here!0.035available0.012fingertips!0.012Also suppose that the proportions of ham messages that have these words areshipping!0.0013today!0.0023here!0.0023available0.0039fingertips!0.0010Round your answers to three decimal places. a. If a message includes the word shipping!, what is the probability the message is spam?.80If a message includes the word shipping!, what is the probability the message is ham?.19Should messages that include the word shipping! be flagged as spam?Yesb. 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 answerWhy?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 answerWhy?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 workeffectively?Explain.It is easier to distinguish spam from ham when a word occurs- Select your answer - v in spam and less often in ham.

I have provided solutions for first 3parts...as per Bartleby guideline!

he five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters eparate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one email ccount, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam mail are given below. chipping! oday! mere! available ingertips! 0.049 0.044 0.035 0.012 0.012 Iso suppose that the proportions of ham messages that have these words are chipping! 0.0013 oday! 0.0023 ere! 0.0023 vailable 0.0039 ingertips! 0.0010 ound your answers to three decimal places.