Question

At Thomas Nelson Community College, the Pre-Test for Mathematics has 200 points on the test. The mean is 120 and the standard deviation is 20. In order to pass the Mathematics Pre- Test, a student must score 140 points or more. If 360 freshmen took the pre-test last fall, how many failed?

Answer 1

First, we need to find the z-score for a score of 140:

z = (140 - 120) / 20 = 1

Using a z-table, we can find the probability of scoring below a z-score of 1, which is 0.1587. This means that the probability of scoring 140 or higher is 1 - 0.1587 = 0.8413.

Now we can find the number of students who passed the pre-test:

0.8413 x 360 = 303.87

Since we can't have a fraction of a student, we round down to 303. Therefore, the number of students who failed is:

360 - 303 = 57

Answer 2

302

Answer 3

I apologize for the error in my previous response. The correct answer is:

0.8413 x 360 = 302.88

Rounding down to the nearest whole number, we get:

302 students passed the pre-test.

Therefore, the number of students who failed is:

360 - 302 = 58.

So, 58 freshmen failed the pre-test.