A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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### Academic Requirements for Student Athletes at Jefferson High School

To qualify for any athletic team at Jefferson High School, a student must maintain a B average or better in all courses. Below is a table showing the distribution of students' grades across three sports at the school.

#### Distribution of Students’ Grades by Sport:

| Sport        | Students with an A Average | Students with a B Average |
|--------------|-----------------------------|---------------------------|
| Field hockey | 15                          | 4                         |
| Basketball   | 7                           | 13                        |
| Football     | 2                           | 22                        |

#### Explanation:
- **Field Hockey**: 15 students have an A average, and 4 students have a B average.
- **Basketball**: 7 students have an A average, and 13 students have a B average.
- **Football**: 2 students have an A average, and 22 students have a B average.

This table highlights the academic performance of student-athletes participating in Field Hockey, Basketball, and Football at Jefferson High School.
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Transcribed Image Text:### Academic Requirements for Student Athletes at Jefferson High School To qualify for any athletic team at Jefferson High School, a student must maintain a B average or better in all courses. Below is a table showing the distribution of students' grades across three sports at the school. #### Distribution of Students’ Grades by Sport: | Sport | Students with an A Average | Students with a B Average | |--------------|-----------------------------|---------------------------| | Field hockey | 15 | 4 | | Basketball | 7 | 13 | | Football | 2 | 22 | #### Explanation: - **Field Hockey**: 15 students have an A average, and 4 students have a B average. - **Basketball**: 7 students have an A average, and 13 students have a B average. - **Football**: 2 students have an A average, and 22 students have a B average. This table highlights the academic performance of student-athletes participating in Field Hockey, Basketball, and Football at Jefferson High School.
### Probability of Athlete Selection

When an athlete is randomly selected, we can calculate the probability of certain characteristics associated with the selected athlete. The probabilities are expressed in decimal form.

#### Questions:

1. **The student is a field hockey player with a B average.**
   - Compute the probability and express it in decimal form.
   - _______________
  
2. **The student has an A average and plays football.**
   - Compute the probability and express it in decimal form.
   - _______________

3. **The student has a B average and does NOT play football.**
   - Compute the probability and express it in decimal form.
   - _______________

To solve these problems, you would generally need the relevant data, such as the total number of athletes, the number of field hockey players with a B average, the number of students with an A average who also play football, and the number of students with a B average who do not play football. If this data is not provided within the question, the probabilities cannot be calculated.
expand button
Transcribed Image Text:### Probability of Athlete Selection When an athlete is randomly selected, we can calculate the probability of certain characteristics associated with the selected athlete. The probabilities are expressed in decimal form. #### Questions: 1. **The student is a field hockey player with a B average.** - Compute the probability and express it in decimal form. - _______________ 2. **The student has an A average and plays football.** - Compute the probability and express it in decimal form. - _______________ 3. **The student has a B average and does NOT play football.** - Compute the probability and express it in decimal form. - _______________ To solve these problems, you would generally need the relevant data, such as the total number of athletes, the number of field hockey players with a B average, the number of students with an A average who also play football, and the number of students with a B average who do not play football. If this data is not provided within the question, the probabilities cannot be calculated.
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