Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Expected Value
Variance
Discrete Random Variables
Formulas
P(X = x) = k(1 - x)^2 for x = -1, 0, 1, 2
E(X) = Σ x * P(X = x)
E(X²) = Σ x² * P(X = x)
Var(X) = E(X²) - (E(X))²
Theorems
Sum of probabilities = 1
Variance definition
Suitable Grade Level
College
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