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 a given year. The physical sciences include mathematics and computer and informations sciences; the life sciences include agricultural sciences/natural resources, biological/biomedical sciences, and health sciences; and the social sciences include psychology Male FemaleTotal Engineering Physical sciences Life sciences Social sciences Education Humanities Other Total 6,599 6,465 5,403 3,560 1,573 2,654 1,568 1,955 2,623 6,770 12,173 4,933 3,369 2,847 1,497 8,554 9,088 8,493 4,942 5,501 3,065 27,822 23,994 51,816 What is the conditional probability that the degree is in education, given that the recipient is female? (Round your answer to four decimal places.) eBook

Explanation / Answer

Baye's Theorem - P(A | B) = P(A & B) / P(B)

P(degree is in education | the recipient is female) = P(degree is in education & the recipient is female) / P(recipient is female)

= 3369/23994

= 0.1404

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