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