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Question

The variance of \(X\) is: [...]

Answer

\(\begin{aligned}\operatorname{Var}[X] & =\mathbf{E}\left[(X-\mathbf{E}[X])^2\right] \\& =\int_{\Omega}(X(\omega)-\mathbf{E}[X])^2 P(d \omega)=\int_{\mathbb{R}}(x-\mathbf{E}[X])^2 \mu(d x)\end{aligned}\)

Question

The variance of \(X\) is: [...]

Answer

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Question

The variance of \(X\) is: [...]

Answer

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**随机变量的方差**

The variance of \(X\) is: \(\begin{aligned}\operatorname{Var}[X] & =\mathbf{E}\left[(X-\mathbf{E}[X])^2\right] \\& =\int_{\Omega}(X(\omega)-\mathbf{E}[X])^2 P(d \omega)=\int_{\mathbb{R}}(x-\mathbf{E}[X])^2 \mu(d x)\end{aligned}\)

The variance of \(X\) is: \(\begin{aligned}\operatorname{Var}[X] & =\mathbf{E}\left[(X-\mathbf{E}[X])^2\right] \\& =\int_{\Omega}(X(\omega)-\mathbf{E}[X])^2 P(d \omega)=\int_{\mathbb{R}}(x-\mathbf{E}[X])^2 \mu(d x)\end{aligned}\)

status | not learned | measured difficulty | 37% [default] | last interval [days] | |||
---|---|---|---|---|---|---|---|

repetition number in this series | 0 | memorised on | scheduled repetition | ||||

scheduled repetition interval | last repetition or drill |

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