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 1400 individuals who were asked if they use social media and other websites to voice their opinions about television programs. Uses Social Media and Other Doesn’t Use Social Media and Other Websites to Voice Opinions About Websites to Voice Opinions About Television Programs Television Programs Female 395 291 Male 323 355 a. What is the probability a respondent is female? b. What is the conditional probability a respondent uses social media and other websites to voice opinions about television programs given the respondent is female? c. 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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 1400 individuals who were asked if they use social media and other
websites to voice their opinions about television programs.

Uses Social Media and Other Doesn’t Use Social Media and Other
Websites to Voice Opinions About Websites to Voice Opinions About
Television Programs Television Programs
Female 395 291
Male 323 355
a. What is the probability a respondent is female?
b. What is the conditional probability a respondent uses social media and other websites
to voice opinions about television programs given the respondent is female?
c. 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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