Scores for a common standardized college aptitude test

Elisha Cancino

Elisha Cancino

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2022-11-23

Scores for a common standardized college aptitude test are normally distributed with a mean of 490 and a standard deviation of 103. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.

 

If 1 student is randomly selected, find the probability that their score is at least 527.3.
P(X > 527.3) =

 

If 11 students are randomly selected, find the probability that their mean score is at least 527.3.
P(¯¯¯XX¯ > 527.3) =

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