Question

SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard diviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 1500?

Answer 1

Solution:

Let X be the SAT score normal variable with mean 1100 and standard deviations 200.

To find

= 0.0228. From Z table

^{0.0228 is the probability that one of the recognized student who score will be at least 1500.}