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Mathematics, 06.05.2020 17:04 goofy44
Forty-three percent of Americans use social media and other websites to voice their opinions about
television programs (the Huffington Post, November 23, 2011). Below are the results of a survey of
1364 individuals who were asked if they use social media and other websites to voice their opinions
about Television programs
Uses Social Media and Other Websites to
Voice Opinions About Television Programs
Doesn’t Use Social Media and
Other Websites to Voice
Opinions About Television
Programs
Female 395 291
Male 323 355
a. Show a joint probability table. (2 marks)
b. What is the probability a respondent is female? (2 marks)
c. What is the conditional probability a respondent uses social media and other websites to voice
opinions about television programs given the respondent is female? (3 marks)
d. Let F denote the event that the respondent is female and A denote the event that the
respondent uses social media and other websites to voice opinions about television programs.
Are events F and A independent
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Answers: 3
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