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Mean of Geometric Distribution Calculator

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✖Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.ⓘ Probability of Success [p]

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✖Mean in Normal Distribution is the average of the individual values in the given statistical data which follows normal distribution.ⓘ Mean of Geometric Distribution [μ]

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Mean of Geometric Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean in Normal Distribution = 1/Probability of Success
μ = 1/p
This formula uses 2 Variables

Variables Used

Mean in Normal Distribution - Mean in Normal Distribution is the average of the individual values in the given statistical data which follows normal distribution.
Probability of Success - Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

STEP 1: Convert Input(s) to Base Unit

Probability of Success: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 1/p --> 1/0.6

Evaluating ... ...

μ = 1.66666666666667

STEP 3: Convert Result to Output's Unit

1.66666666666667 --> No Conversion Required

FINAL ANSWER

1.66666666666667 ≈ 1.666667 <-- Mean in Normal Distribution

(Calculation completed in 00.020 seconds)

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< Geometric Distribution Calculators

Standard Deviation of Geometric Distribution

LaTeX Go Standard Deviation in Normal Distribution = sqrt(Probability of Failure in Binomial Distribution/(Probability of Success^2))

Variance of Geometric Distribution

LaTeX Go Variance of Data = Probability of Failure in Binomial Distribution/(Probability of Success^2)

Mean of Geometric Distribution given Probability of Failure

LaTeX Go Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution)

Mean of Geometric Distribution

LaTeX Go Mean in Normal Distribution = 1/Probability of Success

Mean of Geometric Distribution Formula

LaTeX Go

Mean in Normal Distribution = 1/Probability of Success
μ = 1/p

What is Geometric Distribution?

A Geometric Distribution is a probability distribution for a discrete random variable that describes the number of Bernoulli trials (experiments with only two possible outcomes, such as success or failure) that must be conducted in order for a success to occur.
The probability of success in each trial is denoted as "p" and is a parameter of the distribution. The probability of the k-th trial being the first success is given by the probability mass function: P(X=k) = ((1-p)^(k-1))*p

The Geometric Distribution is a special case of the negative binomial distribution. It is used in modeling the number of failures before the first success in a sequence of Bernoulli trials.

How to Calculate Mean of Geometric Distribution?

Mean of Geometric Distribution calculator uses Mean in Normal Distribution = 1/Probability of Success to calculate the Mean in Normal Distribution, Mean of Geometric Distribution formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution. Mean in Normal Distribution is denoted by μ symbol.

How to calculate Mean of Geometric Distribution using this online calculator? To use this online calculator for Mean of Geometric Distribution, enter Probability of Success (p) and hit the calculate button. Here is how the Mean of Geometric Distribution calculation can be explained with given input values -> 1.666667 = 1/0.6.

FAQ

What is Mean of Geometric Distribution?

Mean of Geometric Distribution formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution and is represented as μ = 1/p or Mean in Normal Distribution = 1/Probability of Success. Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

How to calculate Mean of Geometric Distribution?

Mean of Geometric Distribution formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution is calculated using Mean in Normal Distribution = 1/Probability of Success. To calculate Mean of Geometric Distribution, you need Probability of Success (p). With our tool, you need to enter the respective value for Probability of Success and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mean in Normal Distribution?

In this formula, Mean in Normal Distribution uses Probability of Success. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution)

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