6.设总体Xsim N(mu,sigma^2),X_(1),X_(2),...,X_(20)为其样本,S^2=(1)/(19)sum_(i=1)^20(X_(i)-overline(X))^2为样本方差,求P0.4sigma^2leq S^2leq 2sigma^2.

6.设总体$X\sim N(\mu,\sigma^{2})$,$X_{1},X_{2},\cdots,X_{20}$为其样本,$S^{2}=\frac{1}{19}\sum_{i=1}^{20}(X_{i}-\overline{X})^{2}$为样本方差,求$P\{0.4\sigma^{2}\leq S^{2}\leq 2\sigma^{2}\}$.

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