Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Cumulative Distribution Function
Exponential Functions

Formulas

P(a ≤ X < b) = F(b) - F(a)
F(x) = 1 - (2/3) * e^(-x/2) - (1/3) * e^(-floor(x/2)) for x ≥ 0

Theorems

Cumulative Distribution Function Properties

Suitable Grade Level

University-level (Probability and Statistics)