Exponential Distribution Calculator

Publish date: 2024-07-02

Exponential Distribution Calculator Image to Crop

Calculate the mean (μ):

μ =	1
	λ

μ =	1

μ = INF

Calculate the median:

Median =	Ln(2)
	λ

Median =	0.69314718055995

Median = INF

Calculate the variance (σ2):

σ2 =	1
	λ2

σ2 =	1
	2

σ2 =	1
	0

σ2 = INF

Calculate Standard Deviation which is the square root of variance denoted as σ

σ = √σ2
σ = √INF
σ = INF

Calculate entropy:

Entropy = 1 - Ln(λ)
Entropy = 1 - Ln()
Entropy = 1 -
Entropy = 1

How does the Exponential Distribution Calculator work?

Free Exponential Distribution Calculator - Calculates the Probability Density Function (PDF) and Cumulative Density Function (CDF) of the exponential distribution as well as the mean, variance, standard deviation, and entropy.
This calculator has 2 inputs.

What 6 formulas are used for the Exponential Distribution Calculator?

ƒ(x,λ) = λe-λx
F(x,λ) = 1 - e-λx
μ = 1/λ
Median = Ln(2)/λ
σ2 = 1/λ2
Entropy = 1 -Ln(λ)

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Exponential Distribution Calculator?

densityThe compactness measure of an objectdistributionvalue range for a variableentropyrefers to disorder or uncertaintyexponentialof or relating to an exponentexponential distributionprobability distribution that describes the time between events in a Poisson point processmeanA statistical measurement also known as the averagestandard deviationa measure of the amount of variation or dispersion of a set of values. The square root of variancevarianceHow far a set of random numbers are spead out from the mean