Problem 4 4. Probabilities based on a contigency table Aaa Aa Surveys conducted

Question

Problem 4

4. Probabilities based on a contigency table Aaa Aa Surveys conducted for the Pew Internet & American Life Project suggest that communication patterns vary across three groups of teenagers: social networkers, content creators, and multichannel teens teens who use the Internet, instant messaging, text-messaging cell phones, and social networks) In one survey, Interne using teenagers were asked how often they spend time with friends in person. Their responses are summarized in the following (incomplete) contingency table. Separate tabulations are provided for social networkers teens who have a profile on a social network site such as Facebook or Instagram) and for teens who are not social networkers. F in the empty cells in the following contingency table Spends Time with Friends Does Not Spend Time with Friends Total Every Day Every Day Social networker 187 493 Not a social networker 295 Tota 886 the event the Interne using teen is a social networker, Let S the event the Internet-using teen is not a social networker the event the Interne using teen spends time with friends in person every day, and the event the Interne using teen does not spend time with friends in person every day Consider this statistical experiment: An Interne using teenager is randomly selected and surveyed. The teen is categorized as a social networker or not a social networker and as someone who spends time with friends in person every day or someone who does not What is the probability that the randomly selected Interne using teenager does not spend time with friends in person every day? O 0.30 O 0.68 O 0.44 O 0.32

Explanation / Answer

from above distribution

1) does not spend time =601/886=0.68

2)social netwroker who does not spend time =306/886 =0.35

3)does not spend time given is a social networker =306/493 =0.62

4)as P(O&S)=306/886=0.35

and P(O)P(S) =(601/886)*(493/886)=0.38

as they both are not equal ; not indpependent

spends time Does not Total Social Networker 187 306 493 Not Social Networker 98 295 393 Total 285 601 886

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