Math Problem Statement
A test has mean of 50 and standard deviation of 10
What is the probability of scoring between a 40 and 65
What is the probability of score lower than a 40 or higher than 65?
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Probability
Normal Distribution
Z-scores
Formulas
Z = (X - μ) / σ
Theorems
Empirical Rule (68-95-99.7 Rule)
Properties of the Standard Normal Distribution
Suitable Grade Level
Grades 10-12
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