Math Problem Statement
Diketahui variabel random X dengan pdf, f(x) = { 2e^-2x; untuk x > 0; untuk x yang lain
Tentukan rerata dan variansi dari X tersebut!
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Continuous Random Variables
Expected Value
Variance
Formulas
E(X) = ∫ x f(x) dx for continuous distributions
Var(X) = E(X^2) - (E(X))^2
Theorems
Expectation and Variance of Continuous Random Variables
Suitable Grade Level
Undergraduate Probability/Statistics
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