Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Random Process
Expectation
Variance
Autocorrelation
Formulas
E[X[n]] = e^{n^2 / 2}
Var(X[n]) = E[X[n]^2] - (E[X[n]])^2
E[X[n]^2] = e^{2n^2}
R_X(n, m) = E[X[n]X[m]]
Theorems
Properties of the Normal Distribution
Moment-Generating Function of Normal Distribution
Suitable Grade Level
Undergraduate
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