Question

At a college, 50 percent of the students are female, and 30 percent of the students...

At a college, 50 percent of the students are female, and 30 percent of the students receive a grade of C. About 40 percent of the students are male and "not C" students. Use this contingency table.

Gender/Grade C Not C or C
Female (F) 0.50
Male (M) 0.40
0.30

If a randomly selected student is a C student, what is the probability the student is female?

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Answer #1

Ans : Given that, 50 % female student. Therefore we can say that remaining 50 % are male student.

Gender/Grade C Not C or C Total
Female (F) 0.2 0.3 0.5
Male (M) 0.1 0.4 0.5
Total 0.3 0.7 1

We have to find,

P(female | C) = 0.2 / 0.3 = 0.6667

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