Math Problem Statement
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.3 years, and standard deviation of 1.1 years.
If you randomly purchase one item, what is the probability it will last longer than 10 years?
Round answer to three decimal places
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-score
Formulas
z = (X - μ) / σ
P(X > x) = 1 - P(Z ≤ z)
Theorems
Properties of the Normal Distribution
Z-Score Calculation
Suitable Grade Level
Grades 10-12
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