Math Problem Statement

균등분포에서 확률밀도함수는 f(x) = c 형태잖아, 만약 (0,a)에서 균등분포라고 하자. 그러면 (0,a)에서 f(x)의 적분값은 1이야?

Solution

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Math Problem Analysis

Mathematical Concepts

Uniform Distribution
Probability Density Function
Integration

Formulas

f(x) = c
\int_0^a f(x) dx = 1
c = 1/a

Theorems

Uniform Distribution Theorem
Fundamental Theorem of Calculus

Suitable Grade Level

Grades 10-12