Question 3: By using NLP, we can detect spam e-mails in our inbox. Assume that the word 'offer' occurs in 80% of the spam messages in our account. Also, let's assume 'offer' occurs in 10% of our desired e-mails. Now consider that 30% of the received e-mails are considered as a scam. Answer followings: a) Assume all emails you receive = 100%. Draw the tree diagram showing %Email for (Spam, Desired). Then show the %offer contained or not for each of Spam and Desired. b) Assuming that You will receive a new message which contains an 'offer', what is the probability that it is a spam email? Hint: Draw the tree, and then find the probability of the following. Remember that the word 'offer' may exist in both spam and desired emails. P(contains offer|spam) * P(spam) P (spam| contains offer) = P(contains offer)