According to the website statista.com, 28.5% of all email traffic in 2019 was made up of spam those pesky, useless, and potentially dangerous messages that just clog our email inboxes. Most email servers these days can filter spam automatically. Spam messages often have certain suspicious phrases in the subject lines. For example, "You Have Been Selected" is one such phrase. An incoming email is checked for key elements, such as this phrase, then the server decides whether to put the email in your mailbox or send it to the spam folder. In this activity, you will estimate the probability that an email with a specific subject line is classified as spam. Let P(S) be the probability that an email you have received is spam and P(S) be the probability that the email is not spam. 1. According to statista.com, what were the values of P(S) and P(S) in 2019? Let's assume that 10% of all spam messages contain the word selected in the subject line. In order to simplify our notation, we will name the events as follows. S = email is spam Semail is not spam W = subject line contains the word "selected" W subiect line does not contain the word "selected"
According to the website statista.com, 28.5% of all email traffic in 2019 was made up of spam those pesky, useless, and potentially dangerous messages that just clog our email inboxes. Most email servers these days can filter spam automatically. Spam messages often have certain suspicious phrases in the subject lines. For example, "You Have Been Selected" is one such phrase. An incoming email is checked for key elements, such as this phrase, then the server decides whether to put the email in your mailbox or send it to the spam folder. In this activity, you will estimate the probability that an email with a specific subject line is classified as spam. Let P(S) be the probability that an email you have received is spam and P(S) be the probability that the email is not spam. 1. According to statista.com, what were the values of P(S) and P(S) in 2019? Let's assume that 10% of all spam messages contain the word selected in the subject line. In order to simplify our notation, we will name the events as follows. S = email is spam Semail is not spam W = subject line contains the word "selected" W subiect line does not contain the word "selected"
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Transcribed Image Text:According to the website statista.com, 28.5% of all email traffic in 2019 was made up of
spam those pesky, useless, and potentially dangerous messages that just clog our email
inboxes. Most email servers these days can filter spam automatically. Spam messages
often have certain suspicious phrases in the subject lines. For example, "You Have Been
Selected" is one such phrase.
An incoming email is checked for key elements, such as this phrase, then the server decides
whether to put the email in your mailbox or send it to the spam folder.
In this activity, you will estimate the probability that an email with a specific subject line
is classified as spam.
Let P(S) be the probability that an email you have received is spam and P(S) be the
probability that the email is not spam.
1. According to statista.com, what were the values of P(S) and P(S) in 2019?
Let's assume that 10% of all spam messages contain the word selected in the subject line.
In order to simplify our notation, we will name the events as follows.
S = email is spam
Se=email is not spam
W = subject line contains the word "selected"
W = subject line does not contain the word "selected"
2. Express the statement "10% of all spam messages contain the word selected" as a
conditional probability.
We also will assume that 0.5% of all non-spam message also contain "selected" in the
subject line.
3. Express the previous statement as a conditional probability.
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