Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Discrete Random Variables
Expected Value
Variance
Formulas
P(X = x) = k(1 - x)^2 for x = -1, 0, 1, 2
E(X) = Σ x * P(X = x)
E(X^2) = Σ x^2 * P(X = x)
Var(X) = E(X^2) - (E(X))^2
Theorems
Basic Properties of Probability Distributions
Suitable Grade Level
University level (Undergraduate Probability/Statistics)
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