· 55.2% of respondents were female. · 74.7% of respondents were white. · 44.9% o

ID: 3072333 • Letter: #

Question

· 55.2% of respondents were female.

· 74.7% of respondents were white.

· 44.9% of respondents replied “Yes” to the abortion question.

· 41.5% of respondents were white females.

· 34.2% of respondents were white persons who replied “Yes” to the abortion question.

· 26.1% of respondents were females who replied “Yes” to the abortion question.

· 18.5% of respondents were white females who replied “Yes” to the abortion question.

Define the following events:

· W = Respondent is White

· F = Respondent is Female

· Y = Respondent replied “Yes” to the abortion question.

Find:

P(Female | non-white)

P(Male | non-white)

From given information we have

P(female) = 0.552

P(white) = 0.747

P(white and female) = 0.415

From above we have

P(male) =1 -P(female) = 1 - 0.552 = 0.448

P(female and non white) = P(female) - P(white and female) = 0.552 - 0.415 = 0.137

P(non white) =1 - P(white)= 1 -0.747 = 0.253

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The required probability is:

P(Female | non-white) = P(female and non-white) / P(non-white) = 0.137 / 0.253 = 0.5415

By the complement rule,

P(Male | non-white) =1- P(Female | non-white) = 1 - 0.5415 = 0.4585

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