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. 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 396 292 Male 322 354 (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.)
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. 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 396 292 Male 322 354 (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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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 | 396 | 292 |
Male | 322 | 354 |
(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?
No, P(F) ≤ P(A | F)No, P(F) ≠ P(F | A) Yes, P(F) < P(F | A)Yes, P(A) = P(F | F)
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