Math Problem Statement
A manufacturer knows that their items have a normally distributed length, with a mean of 13.8 inches, and standard deviation of 2 inches.
If one item is chosen at random, what is the probability that it is less than 17.2 inches long?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-Score
Formulas
z = (x - μ) / σ
P(Z < z)
Theorems
Standard Normal Distribution
Suitable Grade Level
Grades 10-12
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