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

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

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

(b) What is the probability that the student is an MAU of Facebook 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 a similar fashion to Part (c).

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

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

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

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milcah answered 1 year ago
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