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Social ScienceBayes’ rule can be used to identify and filter spam emails and text messages. A large collection of real SMS text messagesfrom participating cellphone used in this research. In this collection, 747 of the 5574 total messages (13.40%) are identified as spam.2.The word “free” is contained in 4.75% of all messages, and 3.57% of all messages both contain the word “free” and are marked as spam.a)What is the probability that a message contains the word “free”, given that it is spam?b)What is the probability that a message is spam, given that it contains the word “free”?
Bayes’ rule can be used to identify and filter spam emails and text messages. A large collection of real SMS text messagesfrom participating cellphone used in this research. In this collection, 747 of the 5574 total messages (13.40%) are identified as spam.
2.The word “free” is contained in 4.75% of all messages, and 3.57% of all messages both contain the word “free” and are marked as spam.a)What is the probability that a message contains the word “free”, given that it is spam?b)What is the probability that a message is spam, given that it contains the word “free”?
Expert Answer
Given probabilites
P(Spam) = 747/5574 = 0.134
P(free) = 0.0475
P(free and spam)=0.0357
We need to find probability that message contain word free given that it is spam P(free|spam)
If A and B are two events then conditional probability P(A|B) is given by the below mentioned formula
So using the formula we compute for probability that a message contains word free given that it is ...
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