Math Problem Statement
A manufacturer knows that their items have a normally distributed length, with a mean of 13 inches, and standard deviation of 1.3 inches.
If one item is chosen at random, what is the probability that it is less than 12.6 inches long?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-score
Formulas
z = (X - μ) / σ
Theorems
Standard Normal Distribution Theorem
Suitable Grade Level
Grades 10-12
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