According to the 2014 National Survey on Drug Use and Health, 11.4%11.4% of adolescents in the United States had at least one major depressive episode (MDE) in the year prior to be being surveyed. The percentage of MDE among adolescents was approximately three times higher for female adolescents (17.3%17.3% ) than for male adolescents (5.7%5.7% ). (a) Consider the American adolescent population as the sample space of interest. Enter the three percents cited here using probability notation. (Enter your answers rounded to three decimal places.) ?(MDE)=�⁡(MDE)=     ?(MDE | female)=�⁡(MDE | female)=     ?(MDE | male)=�⁡(MDE | male)=     (b) Is MDE independent of sex in the American adolescent population? Select the best explanation. None of the options are correct. No, MDE is not independent of sex in the American adolescent population. Knowing the sex does not change the probability of MDE. No, MDE is not independent of sex in the American adolescent population. Knowing the sex of the adolescent changes the probability of MDE. Yes, MDE is independent of sex in the American adolescent population since ?(MDE) ?(male)=?(MDE | male)�⁡(MDE) �⁡(male)=�⁡(MDE | male) .

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According to the 2014 National Survey on Drug Use and Health, 11.4%11.4% of adolescents in the United States had at least one major depressive episode (MDE) in the year prior to be being surveyed. The percentage of MDE among adolescents was approximately three times higher for female adolescents (17.3%17.3% ) than for male adolescents (5.7%5.7% ).

(a) Consider the American adolescent population as the sample space of interest. Enter the three percents cited here using probability notation. (Enter your answers rounded to three decimal places.)

?(MDE)=�⁡(MDE)=
 
 
?(MDE | female)=�⁡(MDE | female)=
 
 
?(MDE | male)=�⁡(MDE | male)=
 
 
(b) Is MDE independent of sex in the American adolescent population? Select the best explanation.
None of the options are correct.
No, MDE is not independent of sex in the American adolescent population. Knowing the sex does not change the probability of MDE.
No, MDE is not independent of sex in the American adolescent population. Knowing the sex of the adolescent changes the probability of MDE.
Yes, MDE is independent of sex in the American adolescent population since ?(MDE) ?(male)=?(MDE | male)�⁡(MDE) �⁡(male)=�⁡(MDE | male) .
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