Maximizing a Variance

★ 6/10Statistics Geometric Progression probability AM-GM

Problem

A random variable $X$ takes values $0, 1, 2$ with probabilities $a, b, c$ respectively. If $4a, b, c$ form a geometric sequence, find the maximum value of the variance $D(X)$ .

Answer

Solution

Difficulty	6/10
Topics	Statistics, Geometric Progression, probability, AM-GM

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