Math Problem Statement
Scores for a common standardized college aptitude test are normally distributed with a mean of 506 and a standard deviation of 111. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.
If 1 of the men is randomly selected, find the probability that his score is at least 564.7. P(X > 564.7) = Enter your answer as a number accurate to 4 decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-scores
Formulas
Z = (X - μ) / σ
P(Z > z) = 1 - P(Z < z)
Theorems
Empirical Rule for Normal Distribution
Suitable Grade Level
Grades 11-12
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