Exponential Distribution Calculator

Calculate the various values for the exponential distribution with $\lambda = 0.8 = \frac{4}{5}$ and $x = 2.7$.

Mean: $\mu = \frac{1}{\lambda} = \frac{5}{4} = 1.25$A.

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

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