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The passing score is set at the highest integer value that yields an expected pass rate for ''high attendance students'' of at least 90%. Determine the expected % of students that will fail the final exam. | The passing score is set at the highest integer value that yields an expected pass rate for ''high attendance students'' of at least 90%. Determine the expected % of students that will fail the final exam. | ||
<ol style="list-style-type: | <ol style="list-style-type:upper-alpha"> | ||
<li>0.33</li> | <li>0.33</li> | ||
<li>0.3794</li> | <li>0.3794</li> | ||
Latest revision as of 12:34, 1 June 2022
A math teacher teaches calculus at a local community college. The teacher has split his students into three groups based on attendance levels: low attendance, medium attendance and high attendance. The upcoming final exam scores are assumed to be normally distributed for each student with the mean and standard deviation dependent on the attendance level of the student:
| Attendance Level | % of students | Mean | Standard Deviation |
|---|---|---|---|
| Low | 20 | 55 | 15 |
| Medium | 50 | 70 | 7 |
| High | 30 | 75 | 5 |
The passing score is set at the highest integer value that yields an expected pass rate for high attendance students of at least 90%. Determine the expected % of students that will fail the final exam.
- 0.33
- 0.3794
- 0.4
- 0.4294
- 0.5