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\(E=mc^2\)

\[ \begin{split} F(X)=1 \\ K(x)=\sqrt{x} \end{split} \] image \[ \begin{align} E(S^2) &=E\left(\frac{1}{n} \sum_{i=1}^n (X_i-\bar{X})^2\right) \\ & =E\left(\frac{1}{n}\sum_{i=1}^n X_i^2\right) - E\left(\frac{1}{n}\sum_{i=1}^n 2\bar{X}X_i\right) + E\left(\frac{1}{n}\sum_{i=1}^n \bar{X}^2\right) \\ & =EX^2 -E(\bar{X}^2) \\ & =DX + (EX)^2 - D\bar{X} - (E\bar{X})^2 \\ & =\frac{n-1}{n}DX \end{align} \]