指数分布計算機

指数分布の各種の値を、$$$\lambda = 0.8 = \frac{4}{5}$$$ と $$$x = 2.7$$$ を用いて計算します。

平均: $$$\mu = \frac{1}{\lambda} = \frac{5}{4} = 1.25$$$A。

分散: $$$\sigma^{2} = \frac{1}{\lambda^{2}} = \frac{25}{16} = 1.5625$$$A.

標準偏差: $$$\sigma = \sqrt{\frac{1}{\lambda^{2}}} = \frac{5}{4} = 1.25$$$A.

$$$P{\left(X = 2.7 \right)} = 0$$$A

$$$P{\left(X \lt 2.7 \right)} = 0.884674878961938$$$A

$$$P{\left(X \leq 2.7 \right)} = 0.884674878961938$$$A

$$$P{\left(X \gt 2.7 \right)} = 0.115325121038062$$$A

$$$P{\left(X \geq 2.7 \right)} = 0.115325121038062$$$A