Giving a test to a group of students, the grades and gender are summarized below Grades and Gender A B Total Male 13 16 31 Female 14 10 11 35 Total 27 26 13 66 If one student is chosen at random, find the probability that the student was female AND got a "C". Round your answer to 4 decimal places.

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**Probability and Statistics: Analyzing Grades and Gender**

In this exercise, we are exploring the distribution of grades among students based on gender. The data is summarized in a table indicating the number of students from each gender who received grades A, B, or C.

**Grades and Gender Table:**

|       | A  | B  | C  | Total |
|-------|----|----|----|-------|
| Male  | 13 | 16 |  2 | 31    |
| Female| 14 | 10 | 11 | 35    |
| Total | 27 | 26 | 13 | 66    |

- **Male Students:**
  - Grade A: 13 
  - Grade B: 16
  - Grade C: 2
  - Total Male Students: 31

- **Female Students:**
  - Grade A: 14
  - Grade B: 10
  - Grade C: 11
  - Total Female Students: 35

- **Overall:**
  - Total students who got Grade A: 27
  - Total students who got Grade B: 26
  - Total students who got Grade C: 13
  - Total Students: 66

**Task:**

Calculate the probability that a randomly selected student is female and received a grade of "C". Round your answer to four decimal places.

**Solution:**

To find the probability, divide the number of female students who got a "C" (11) by the total number of students (66).

\[ \text{Probability} = \frac{11}{66} = 0.1667 \]

Enter your answer in the space provided and click "Submit Question".
Transcribed Image Text:**Probability and Statistics: Analyzing Grades and Gender** In this exercise, we are exploring the distribution of grades among students based on gender. The data is summarized in a table indicating the number of students from each gender who received grades A, B, or C. **Grades and Gender Table:** | | A | B | C | Total | |-------|----|----|----|-------| | Male | 13 | 16 | 2 | 31 | | Female| 14 | 10 | 11 | 35 | | Total | 27 | 26 | 13 | 66 | - **Male Students:** - Grade A: 13 - Grade B: 16 - Grade C: 2 - Total Male Students: 31 - **Female Students:** - Grade A: 14 - Grade B: 10 - Grade C: 11 - Total Female Students: 35 - **Overall:** - Total students who got Grade A: 27 - Total students who got Grade B: 26 - Total students who got Grade C: 13 - Total Students: 66 **Task:** Calculate the probability that a randomly selected student is female and received a grade of "C". Round your answer to four decimal places. **Solution:** To find the probability, divide the number of female students who got a "C" (11) by the total number of students (66). \[ \text{Probability} = \frac{11}{66} = 0.1667 \] Enter your answer in the space provided and click "Submit Question".
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