しげむー（統計）

$$p_1+p_2+・・・+p_n$$

$$x_1p_1+x_2p_2+・・・+x_np_n$$

$$x_1^2p_1+x_2^2p_2+・・・+x_n^2p_n$$

$$P\left(X=3\right)\times P\left(X=4\right)\times P\left(X=5\right)$$

$$P\left(X=5\right)-P\left(X=3\right)$$

$$P\left(X=3\right)+P\left(X=4\right)+P\left(X=5\right)$$

$$1-P\left(X\ge5\right)$$

$$P\left(X=2\right)+P\left(X=3\right)$$

$$P\left(X=2\right)\times P\left(X=3\right)\times P\left(X=4\right)$$

偏差の平均値

偏差の積

偏差の2乗の平均値

偏差の3乗の平均値

$$aE\left(X\right)+b$$

$$aX+b$$

$$E\left(X\right)+b$$

$$a^2E\left(X\right)$$

$$aV\left(X\right)$$

$$aV\left(X^2\right)$$

$$a^2V\left(X\right)$$

$$aV\left(X\right)+b$$

$$a^2\sigma\left(X\right)$$

$$\sigma\left(X\right)+b$$

$$\left|a\right|\sigma\left(X\right)+b$$

$$\left|a\right|\sigma\left(X\right)$$

$$E\left(X\right)-\left\{E\left(X^2\right)\right\}^2$$

$$E\left(X^2\right)-E\left(X\right)$$

$$\left\{E\left(X^2\right)\right\}^2-E\left(X\right)$$

$$E\left(X^2\right)-\left\{E\left(X\right)\right\}^2$$

分散の負の平方根

分散の正の平方根

分散の平均値

分散のオリハルコン

$$\frac{1}{4}$$

$$\frac{1}{3}$$

$$\frac{1}{2}$$

$$1$$