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  3. 4. one hundred students were interviewed. forty–

4. One hundred students were interviewed. Forty–two are Monthly Active Users (MAU) of Facebook (F), and...

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Basic Math

4. One hundred students were interviewed. Forty–two are MonthlyActive Users (MAU) of Facebook (F), and sixty–five are MAU ofSnapchat(S). Thirty–four are MAU of both Facebook and Snapchat. Oneof the100 students is randomly selected, all 100 students havingthe same probability of selection (1/100).

(a) What is the probability that the student is an MAU ofFacebook?

(b) What is the probability that the student is an MAU ofFacebook given that the student is an MAU of Snapchat?

(c) Find Pr(S|F).

d) Express the probability in Part (b) in symbols, that is in asimilar fashion to Part (c).

5. The students in Question 4 were also asked if they were MAUof Twitter. Twenty five were MAU of Twitter, including 15 who wereMAU of Facebook and Twitter and 16 who were MAU of Twitter andSnapchat. Twenty four students were not MAU of any of Facebook,Snapchat or Twitter.

(a) What is the probability that a randomly selected student isan MAU of Facebook, Snapchat, and Twitter?

(b) What is the probability that a randomly selected student isan MAU of Twitter, conditional on that student being an MAU of bothFacebook and Snapchat?

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