Below are the results of a survey of 1,364 individuals who were asked if they use social media and other websites to voice their opinions about television programs. Female Male Uses Social Media and Other Websites to Voice Opinions About Television Programs 397 321 Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs 293 353 (a) What is the probability a respondent is female? (Round your answer to four decimal places.) (b) What is the conditional probability a respondent is female given the respondent uses social media and other websites to voice opinions about television programs? (Round your answer to four decimal places.) (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 A and F independent? Why or why not? Yes, P(F)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Below are the results of a survey of 1,364 Individuals who were asked if they use social media and other websites to voice their opinions about
television programs.
Female
Male
Uses Social Media and Other
Websites to Voice Opinions
About Television Programs
397
321
Doesn't Use Social Media and Other
Websites to Voice Opinions
About Television Programs
293
353
(a) What is the probability a respondent is female? (Round your answer to four decimal places.)
(b) What is the conditional probability a respondent is female given the respondent uses social media and other websites to voice opinions about
television programs? (Round your answer to four decimal places.)
(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 A and F independent? Why or why not?
Yes, P(F) < P(FIA)
Yes, P(A) = P(F|F)
O No, P(F) + P(FIA)
O No, P(F) S P(AF)
Transcribed Image Text:Below are the results of a survey of 1,364 Individuals who were asked if they use social media and other websites to voice their opinions about television programs. Female Male Uses Social Media and Other Websites to Voice Opinions About Television Programs 397 321 Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs 293 353 (a) What is the probability a respondent is female? (Round your answer to four decimal places.) (b) What is the conditional probability a respondent is female given the respondent uses social media and other websites to voice opinions about television programs? (Round your answer to four decimal places.) (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 A and F independent? Why or why not? Yes, P(F) < P(FIA) Yes, P(A) = P(F|F) O No, P(F) + P(FIA) O No, P(F) S P(AF)
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