What is the probability a survey respondent will say she or he is not okay with this practice?   (b) Given a respondent is 30–49 years old, what is the probability the respondent will say she or he is okay with this practice? (Round your answer to four decimal places.)   (c) Given a respondent says she or he is not okay with this practice, what is the probability the respondent is 50+ years old?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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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A survey was conducted that included several questions about how internet users feel about search engines and other websites collecting information about them and using this information either to shape search results or target advertising to them. In one question, participants were asked, "If a search engine kept track of what you search for, and then used that information to personalize your future search results, how would you feel about that?" Respondents could indicate either "Would not be okay with it because you feel it is an invasion of your privacy" or "Would be okay with it, even if it means they are gathering information about you." Frequencies of responses by age group are summarized in the following table.
Age Not Okay Okay
18–29 0.1486 0.0603
30–49 0.2274 0.0906
50+ 0.4009 0.0722
(a)
What is the probability a survey respondent will say she or he is not okay with this practice?
 
(b)
Given a respondent is 30–49 years old, what is the probability the respondent will say she or he is okay with this practice? (Round your answer to four decimal places.)
 
(c)
Given a respondent says she or he is not okay with this practice, what is the probability the respondent is 50+ years old? (Round your answer to four decimal places.)
 
(d)
Is the attitude about this practice independent of the age of the respondent? Why or why not?
Yes, because P(okay | 30-49) = P(30-49 | okay).No, because P(okay | 30-49) ≠ P(okay).    Yes, because P(okay ∩ 18-29) = 0.No, because these events aren't mutually exclusive.
(e)
Do attitudes toward this practice for respondents who are 18–29 years old and respondents who are 50+ years old differ?
The attitudes     . Compared to respondents in the 18-29 age category, respondents in the 50+ age category are      to say this practice is not okay. 
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