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ABy Admin
Jun 01'22

Exercise

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.

  1. 0.33
  2. 0.3794
  3. 0.4
  4. 0.4294
  5. 0.5
ABy Admin
Jun 01'22

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