Evaluate the CDF at ƒ(x,λ) = ƒ( 5,0.333333333)

Enter x

Enter λ

  

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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

Calculate the mean (μ):

μ  =	1
	λ

μ  =	1
	0.333333333

μ = 3.000000003

Calculate the median:

Median  =	Ln(2)
	λ

Median  =	0.69314718055995
	0.333333333

Median = 2.0794415437593

Calculate the variance (σ²):

σ2  =	1
	λ2

σ2  =	1
	0.3333333332

σ2  =	1
	0.11111111088889

σ² = 9.000000018

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

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