Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 700 or higher on the test?
A).98
B).02
C).12
D).75

Question

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 700 or higher on the test? 
A).98
B).02
C).12
D).75

Quizplus · Accepted Answer

Since we want to find the probability of a student scoring 700 or higher, we need to find the z-score associated with this score.

z = (x - μ) / σ

z = (700 - 500) / 100

z = 2

Using a z-table or calculator, we can find that the probability of a z-score of 2 or higher is approximately 0.0228. This means that the probability of a student scoring 700 or higher is approximately 0.0228 or 2.28%.

Therefore, the best choice is B) 0.02.

Given That on One Section of the SAT the Mean