Intermediate algebra, statistics, and liberal arts math are not needed by STEM majors. Calculate the probability a randomly selected student enrolled in a math class is taking a class required by a STEM major.

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### University Enrollment by Major

Below is a table representing the enrollment percentages at a university by various math classes:

|                  Major             | Enrollment Percentage |
|:-----------------------------:|:----------------------------:|
| Intermediate Algebra          | 5%                                |
| College Algebra                    | 15%                              |
| Statistics                                | 40%                              |
| Liberal Arts Math                  | 10%                              |
| Trigonometry                         | 10%                              |
| Precalculus                            | 8%                                |
| Calculus 1                              | 4%                                |
| Calculus 2                              | 4%                                |
| Calculus 3                              | 4%                                |

### Probability Calculation Prompt

Intermediate algebra, statistics, and liberal arts math are not needed by STEM majors. Calculate the probability that a randomly selected student enrolled in a math class is taking a class required by a STEM major.

### Answer Options

- 40%
- 10%
- 55%
- 45%

### Solution Explanation

To find the probability that a randomly selected student enrolled in a math class is taking a class required by a STEM major, sum the percentages of the classes required by STEM majors and divide by the total enrollment percentage (assuming the table represents the entirety of math enrollment).

Classes required by STEM majors:
- College Algebra - 15%
- Trigonometry - 10%
- Precalculus - 8%
- Calculus 1 - 4%
- Calculus 2 - 4%
- Calculus 3 - 4%

Total percentage for STEM-required classes = 15% + 10% + 8% + 4% + 4% + 4% = 45%

Therefore, the probability that a randomly selected student is taking a STEM-required math class is 45%.
Transcribed Image Text:### University Enrollment by Major Below is a table representing the enrollment percentages at a university by various math classes: | Major | Enrollment Percentage | |:-----------------------------:|:----------------------------:| | Intermediate Algebra | 5% | | College Algebra | 15% | | Statistics | 40% | | Liberal Arts Math | 10% | | Trigonometry | 10% | | Precalculus | 8% | | Calculus 1 | 4% | | Calculus 2 | 4% | | Calculus 3 | 4% | ### Probability Calculation Prompt Intermediate algebra, statistics, and liberal arts math are not needed by STEM majors. Calculate the probability that a randomly selected student enrolled in a math class is taking a class required by a STEM major. ### Answer Options - 40% - 10% - 55% - 45% ### Solution Explanation To find the probability that a randomly selected student enrolled in a math class is taking a class required by a STEM major, sum the percentages of the classes required by STEM majors and divide by the total enrollment percentage (assuming the table represents the entirety of math enrollment). Classes required by STEM majors: - College Algebra - 15% - Trigonometry - 10% - Precalculus - 8% - Calculus 1 - 4% - Calculus 2 - 4% - Calculus 3 - 4% Total percentage for STEM-required classes = 15% + 10% + 8% + 4% + 4% + 4% = 45% Therefore, the probability that a randomly selected student is taking a STEM-required math class is 45%.
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