# Exponential Distribution Calculator

## Calculate probabilities of the exponential distribution step by step

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the exponential distribution.

Related calculator: Geometric Distribution Calculator

### Your Input

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

### Answer

**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**

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

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

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

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