Mean of Geometric Distribution given Probability of Failure Calculator

✖Probability of Failure in Binomial Distribution is the probability of a specific outcome not occurring in a single trial of a fixed number of independent Bernoulli trials.ⓘ Probability of Failure in Binomial Distribution [q_BD]

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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 given Probability of Failure [μ]

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Mean of Geometric Distribution given Probability of Failure

Formula

`"μ" = 1/(1-"q"_{"BD"})`

Example

`"1.666667"=1/(1-"0.4")`

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Mean of Geometric Distribution given Probability of Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution)
μ = 1/(1-q_BD)
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 Failure in Binomial Distribution - Probability of Failure in Binomial Distribution is the probability of a specific outcome not occurring in a single trial of a fixed number of independent Bernoulli trials.

STEP 1: Convert Input(s) to Base Unit

Probability of Failure in Binomial Distribution: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 1/(1-q_BD) --> 1/(1-0.4)

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 00.004 seconds)

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< 6 Geometric Distribution Calculators

Geometric Distribution

Go Geometric Probability Distribution Function = Probability of Success in Binomial Distribution*Probability of Failure^(Number of Independent Bernoulli Trials)

Standard Deviation of Geometric Distribution

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

Variance of Geometric Distribution

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

Variance in Geometric Distribution

Go Variance of Data = (1-Probability of Success)/(Probability of Success^2)

Mean of Geometric Distribution given Probability of Failure

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

Mean of Geometric Distribution

Go Mean in Normal Distribution = 1/Probability of Success

Mean of Geometric Distribution given Probability of Failure Formula

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

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 given Probability of Failure?

Mean of Geometric Distribution given Probability of Failure calculator uses Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution) to calculate the Mean in Normal Distribution, Mean of Geometric Distribution given Probability of Failure formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution, and calculated using the probability of failure corresponding to that geometric random variable. Mean in Normal Distribution is denoted by μ symbol.

How to calculate Mean of Geometric Distribution given Probability of Failure using this online calculator? To use this online calculator for Mean of Geometric Distribution given Probability of Failure, enter Probability of Failure in Binomial Distribution (q_BD) and hit the calculate button. Here is how the Mean of Geometric Distribution given Probability of Failure calculation can be explained with given input values -> 1.666667 = 1/(1-0.4).

FAQ

What is Mean of Geometric Distribution given Probability of Failure?

Mean of Geometric Distribution given Probability of Failure formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution, and calculated using the probability of failure corresponding to that geometric random variable and is represented as μ = 1/(1-q_BD) or Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution). Probability of Failure in Binomial Distribution is the probability of a specific outcome not occurring in a single trial of a fixed number of independent Bernoulli trials.

How to calculate Mean of Geometric Distribution given Probability of Failure?

Mean of Geometric Distribution given Probability of Failure formula is defined as the long-run arithmetic average value of a random variable that follows Geometric distribution, and calculated using the probability of failure corresponding to that geometric random variable is calculated using Mean in Normal Distribution = 1/(1-Probability of Failure in Binomial Distribution). To calculate Mean of Geometric Distribution given Probability of Failure, you need Probability of Failure in Binomial Distribution (q_BD). With our tool, you need to enter the respective value for Probability of Failure in Binomial Distribution 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 Failure in Binomial Distribution. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean in Normal Distribution = 1/Probability of Success

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