A computer-assisted calculus test is being trialed out to assess its accuracy in predicting a human teacher’s review. The following data is collected for the calibration trial:
For the calibration trial, 300 students sat for a computer-assisted calculus test. 220 students passed this test and the remaining failed. The same students are then reviewed personally by the teacher. 5% of the students who failed the computer-assisted test passed the teacher review and 15% of the students who passed the computer-assisted test failed the teacher review.
Please calculate the probability that a person who passed the teacher review failed the computer-assisted test previously.
For the calibration trial, 300 students sat for a computer-assisted calculus test. 220 students passed this test and the remaining failed. The same students are then reviewed personally by the teacher. 5% of the students who failed the computer-assisted test passed the teacher review and 15% of the students who passed the computer-assisted test failed the teacher review.
Please calculate the probability that a person who passed the teacher review failed the computer-assisted test previously.