Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. (a) How many sample points are possible? (Hint: use the counting rule for multiple-step experiments.) 36 (b) List the sample points. There is one way V to sum the face values of a pair of dice to 2. There are two ways v to sum the face values of a pair of dice to 3. There are three ways v to sum the face values of a pair of dice to 4. There are four ways V to sum the face values of a pair of dice to 5. There are five ways V to sum the face values of a pair of dice to 6. There are six ways v to sum the face values of a pair of dice to 7. There are five ways V to sum the face values of a pair of dice to 8. There are four ways v to sum the face values of a pair of dice to 9. There are three ways v to sum the face values of a pair of dice to 10. There are two ways V to sum the face values of a pair of dice to 11. There is one way V to sum the face values of a pair of dice to 12. (c) What is the probability of obtaining a value of 9? 0. 1111 X (d) What is the probability of obtaining a value of 8 or greater? 0.416856567 X(c) What is the probability of obtaining a value of 9? 0. 1111 X (d) What is the probability of obtaining a value of 8 or greater? 0.416866667 (e) Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain. IS/IS NOT This statement ---Select--- V correct because P(odd) = 1.3.5 X Your answer cannot be understood or graded. More Information and (even) = 2.4.6 x Your answer cannot be understood or graded. More Information. (f) What method did you use to assign the probabilities requested? O relative frequency method O classical method O subjective method empirical methodA 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 0.1484 0.0605 30-49 0.2272 0.0908 50+ 0.4007 0.0724 (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? O No, because these events aren't mutually exclusive. O No, because P(okay | 30-49) = P(okay). O Yes, because P(okay n 18-29) = 0. O Yes, because P(okay | 30-49) = P(30-49 | okay). ---Select-- less likely (e) Do attitudes toward this practice for respondents who are 18-29 years old and respondents who are 50+ years old differ? more likely equally likely The attitudes [--Select--- V . Compared to respondents in the 18-29 age category, respondents in the 50+ age category are ---Select--. to say this practice is not okay. DIFFER/DON'T DIFFERA recent survey examined the use of social media platforms. Suppose the survey found that there is a 0.67 probability that a randomly selected person will use Facebook and a 0.29 probability that a randomly selected person will use LinkedIn. In addition, suppose there is a 0.24 probability that a randomly selected person will use both Facebook and LinkedIn. (a) What is the probability that a randomly selected person will use Facebook or LinkedIn? (b) What is the probability that a randomly selected person will not use either social media platform