Question: A recent poll asked 16- to 21-year-olds whether or not they are likely to serve in the U.S. military. The following table, cross-classified by gender
| A recent poll asked 16- to 21-year-olds whether or not they are likely to serve in the U.S. military. The following table, cross-classified by gender and race, reports the percentage of those polled who responded that they are likely or very likely to serve in the active-duty military. |
| Race | |||
| Gender | Hispanic | Black | White |
| Male | 33.5% | 20.5% | 16.5% |
| Female | 14.5% | 10.5% | 4.5% |
| SOURCE: Defense Human Resources Activity telephone poll of 3,228 Americans conducted October through December 2005. |
| a. | What is the probability that a randomly selected respondent is female? (Round your intermediate calculations and final answers to 4 decimal places.) |
| Probability |
| b. | What is the probability that a randomly selected respondent is Hispanic? (Round your intermediate calculations and final answers to 4 decimal places.) |
| Probability |
| c. | Given that a respondent is female, what is the probability that she is Hispanic? (Round your intermediate calculations and final answers to 4 decimal places.) |
| Probability | 0.4915 |
| d. | Given that a respondent is White, what is the probability that the respondent is male? (Round your intermediate calculations and final answers to 4 decimal places.) |
| Probability | 0.7857 |
| e. | Are the events Male and White independent? |
| No because P(Male | White) P(Male). |
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