Math Problem Statement
A target is located at the point 0 on a horizontal axis. Let x be the landing point of a shot aimed at the target, a continuous variable with density function f(x) = 0.75(1 - x^2) for -1≤ x≤ 1. What is the mean value of x?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Continuous Random Variables
Expected Value
Formulas
E[X] = ∫ x f(x) dx
f(x) = 0.75(1 - x^2) for -1 ≤ x ≤ 1
Theorems
Expected Value Theorem
Symmetry of Distributions
Suitable Grade Level
College Level (Probability and Statistics)
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