指數分佈計算器

使用 $$$\lambda = 0.8 = \frac{4}{5}$$$ 和 $$$x = 2.7$$$ 計算指數分佈的各種數值。

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

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

標準差：$$$\sigma = \sqrt{\frac{1}{\lambda^{2}}} = \frac{5}{4} = 1.25$$$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