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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.

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Verified Answer :

LammettHash

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

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

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