Math Problem Statement
The formula for the probability density function for the uniform distribution is:
The formula for the probability density function for the uniform distribution is:
for a ≤ x ≤ b
for a ≤ x ≤ b
for a ≤ x ≤ b
for a ≤ x ≤ b
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Probability Density Functions
Uniform Distribution
Formulas
f(x) = 1 / (b - a) for a ≤ x ≤ b
Expected Value: E(X) = (a + b) / 2
Variance: Var(X) = (b - a)^2 / 12
Theorems
Uniform Distribution Theorem
Properties of Probability Density Functions
Suitable Grade Level
Undergraduate Level
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