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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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