In: Statistics and Probability
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.
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?