Math Problem Statement
X ∼ Exp(1). Find E (X|X ≥ 2).
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Exponential Distribution
Conditional Expectation
Formulas
f_X(x) = λe^(-λx), for x ≥ 0
E(X | X ≥ a) = a + 1/λ
Theorems
Memoryless Property of the Exponential Distribution
Suitable Grade Level
Undergraduate Level
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