What is the distribution of doctorates conferred by field and sex? Here are the

Question

What is the distribution of doctorates conferred by field and sex? Here are the counts from the most popular fields in 2011. The physical sciences include mathematics and computer and information sciences; the life sciences include agricultural sciences/natural resources, biological/biomedical sciences, and health sciences; and the social sciences include psychology.

Doctorates . MALE . FEMALE

Engineering 6189 1776

Physical sciences 6118 2396

Life sciences 5197 6271

Social sciences 3378 4764

Education 1390 3282

Other 3908 4107

Total 26180 22596

Choose a doctoral recipient at random from this group. The conditional probability that the degree is engineering, given that the recipient is female, is about ( ± 0.001)

Explanation / Answer

Total Femal is 1778 + 2396 + 6271 + 4764 + 3282 + 4107 = 22596

The conditional probability that the degree is engineering, given that the recipient is female, is

P(Engineering / Female) = P(Engineering and Female) / P(Female)

                                       = 1776 / 22596

                                       =0.0786

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