QUESTION 15 Provide an appropriate response. A survey asked respondents whether

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QUESTION 15 Provide an appropriate response. A survey asked respondents whether they favored or opposed sex education in public schools. According to the survey results, 44% of the respondents were male and 89% favored sex education in public schools if the events "respondent is male" and "respondent favors sex education in public schools" are independent, what is the probability that a randomly selected respondent was male or opposed sex education in public schools? O 0.55 O cannot be determined from the information given a O 0.11 O 0.50 0 QUESTION 16 Select the most appropriate answer.

Explanation / Answer

Solution:-

The probability that a randomly selected respondent was male or opposed sex education in public schools = 0.5016

The probability that a randomly selected respondent was male in public schools = 0.44

The probability that a randomly selected respondent opposed sex education in public schools = 1 -0.89 = 0.11

The probability that a randomly selected respondent was male and opposed sex education in public schools = 0.44 × 0.11 = 0.0484

The probability that a randomly selected respondent was male or opposed sex education in public schools = 0.44 + 0.11 - 0.0484 = 0.5016

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