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
You have 2 free calculationss remaining Calculate the mean (μ): μ =
3.000000003 Calculate the median: Median = 0.69314718055995 0.333333333
Median =
2.0794415437593 Calculate the variance (σ2 ): σ
2 =
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
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
σ
2 = 1/λ
2 Entropy = 1 -Ln(λ)
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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 Exponential Distribution Calculator Video VIDEO
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