Math Problem Statement
the probability of mass function of a random variable pR(r) is given but the expected value and variance of the random variable S= ln(R) is asked to be found
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Expected Value
Variance
Logarithmic Transformation
Formulas
E(S) = ∑ ln(r) * p_R(r)
Var(S) = E(S^2) - (E(S))^2
E(S^2) = ∑ (ln(r))^2 * p_R(r)
Theorems
Expected Value Theorem
Variance Formula for Discrete Random Variables
Suitable Grade Level
Undergraduate or Advanced High School (Grades 11-12)
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