<-- Enter x
<-- Enter λ

Evaluate the Cumulative Distribution Function (CDF) at F(x,λ) = F(5,0.333333333)

## CDF formula is below:

F(x,λ) = 1 - e-λx
F(5,0.333333333) = 1 - 2.718281828459(-0.333333333)(5)
F(5,0.333333333) = 1 - 2.718281828459-1.666666665
F(5,0.333333333) = 1 - 0.18887560315235
F(5,0.333333333) = 0.81112439684765

## Calculate the mean (μ):

 μ  = 1 λ

 μ  = 1 0.333333

μ = 3.000000003

## Calculate the median:

 Median  = Ln(2) λ

 Median  = 0.693147 0.333333

Median = 2.0794415437593

## Calculate the variance (σ2):

 σ2  = 1 λ2

 σ2  = 1 0.333333

 σ2  = 1 0.111111

σ2 = 9.000000018

σ = √σ2
σ = √9.000000018
σ = 3.000000003

## Calculate entropy:

Entropy = 1 - Ln(λ)
Entropy = 1 - Ln(0.333333333)
Entropy = 1 - -1.0986122896681
Entropy = 2.0986122896681

##### What is the Answer?
F(5,0.333333333) = 0.81112439684765
##### 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?

density
The compactness measure of an object
distribution
value range for a variable
entropy
refers to disorder or uncertainty
exponential
of or relating to an exponent
exponential distribution
probability distribution that describes the time between events in a Poisson point process
mean
A statistical measurement also known as the average
standard deviation
a measure of the amount of variation or dispersion of a set of values. The square root of variance
variance
How far a set of random numbers are spead out from the mean

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