Math Problem Statement
Intelligence quotients (IQs) measured on the Stanford Revision of the BinetdashSimon Intelligence Scale are normally distributed with a mean of 100 and a standard deviation of 16. Use this information to determine the probability of people who have IQs greater than 115.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-scores
Formulas
Z-score formula: z = (X - μ) / σ
Probability formula: P(X > value) = 1 - P(Z < z)
Theorems
68-95-99.7 Rule (Empirical Rule)
Properties of the Normal Distribution
Suitable Grade Level
Grades 10-12
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