# 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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Doesn’t Use Social Media and   Uses Social Media and Other Websites to       Opinions About Television                                                                                    Programs Voice Opinions About Television Programs                                                                          Other Websites to Voice                                                                           Female                          395                                             291 Male                             323                                              355 a. Show a joint probability table.  b. What is the probability a respondent is female?  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?         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?

Question

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

Doesn’t Use Social Media and
Uses Social Media and Other Websites to       Opinions About Television
Programs
Voice Opinions About Television Programs                                                                          Other Websites to Voice

Female                          395                                             291
Male                             323                                              355
a. Show a joint probability table.
b. What is the probability a respondent is female?
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?

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?