Question

The scores on a law school entrance exam are normally distributed with a mean of 250 and a standard deviation of 50. Suppose 320 students took the test.
Approximately how many students scored above 284?


Round your answer to the nearest whole number.

- marking brainliest -

Answer 1

$\mathbb P(X>284)=\mathbb P\left(\dfrac{X-250}{50}>\dfrac{284-250}{50}\right)=\mathbb P(Z>0.68)\approx0.248$

Out of 320 student, you should expect about 25% of them to score above 284, or about 80 students.