Conditional Probability Show your solution. For numbers 1 - 2 Compute the conditional probabilities P(AIB) and P(BlA) 1. P(A) = 0.61, P(B) = 0.18, P(A and B) = 0,07 2. P(A) = 0.2, P(B) = 0.5, PM and B) = 0.2 For numbers 3 - 6 Use the data in the following table, which shows the resuits of a survey of 2000 garners about their favorite home video game systems, organized by age group. If a survey participant is selected at random. determine the probability of each of the following. Group PlayStation 2 3. The participant prefers the Sony PlayStation 2 system. 4. The participant prefers the Microsoft Xbox, given that the person is between the age of 13 and 18. 5. The participant prefers Nintendo GameCube, given that the person is between the ages of 13 and 24. 6. The participant is under 12 years of age, given that the person prefers the Sega Dreamcast machine.For numbers 7 - 12 The table below shows the political affiliation of American voters and their positions on the death penalty Favor (F) Oppose (0) Republican (R) 0.26 0.04 Democrat (D) 0.12 0.24 Independent (1) 0.24 0.10 Suppose a voter is chosen at random. Determine the probabilities: 7. P(O) 8. P(R and F) 9. P(FII)\fFornumbm 13 - 16 In a survey of readers of a teen magazine, a question was asked, "Which do you prefer: Instagram or Snapchat?". There were 362 responses from females and 216 responses from males. 281 females and 98 males stated they prefer Instagram. 13. Create the two-way table to organize the responses to the survey. 14. Given the respondents who prefer Snapchat, what is the probability that the respondent is female? 15. Given the respondents who prefer Instagram. what is the probability that the respondent is female? 16. What is the probability that the respondent is a male given the respondents prefer Instagram? For numbers 17- 20 Suppose past records in a large city produced the following data on a driver being in an accident on a day when there were recordbreaking rain levels in Seattle. mm \"WWW mm No Rain NR 17. Find the probmility of an accident. 0.625 18. Find the probability of no rain, given no accident. 19. Find the probability of an accident, given rain. 20. Given ], nd the probability of no accident