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Mean of Binomial Distribution Calculator

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✖Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.ⓘ Number of Trials [N_Trials]			+10% -10%
✖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]			+10% -10%

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

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Mean of Binomial Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean in Normal Distribution = Number of Trials*Probability of Success
μ = N_Trials*p
This formula uses 3 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.
Number of Trials - Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.
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

Number of Trials: 10 --> No Conversion Required
Probability of Success: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = N_Trials*p --> 10*0.6

Evaluating ... ...

μ = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Mean in Normal Distribution

(Calculation completed in 00.020 seconds)

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< Binomial Distribution Calculators

Standard Deviation of Binomial Distribution

LaTeX Go Standard Deviation in Normal Distribution = sqrt(Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution)

Mean of Negative Binomial Distribution

LaTeX Go Mean in Normal Distribution = (Number of Success*Probability of Failure in Binomial Distribution)/Probability of Success

Variance of Binomial Distribution

LaTeX Go Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution

Mean of Binomial Distribution

LaTeX Go Mean in Normal Distribution = Number of Trials*Probability of Success

Mean of Binomial Distribution Formula

LaTeX Go

Mean in Normal Distribution = Number of Trials*Probability of Success
μ = N_Trials*p

What is Binomial Distribution?

A Binomial Distribution is a probability distribution that describes the number of successful outcomes in a fixed number of independent trials. Each trial has only two possible outcomes, typically labeled "success" and "failure".
The Binomial Distribution is defined by two parameters: the probability of success (p) in a single trial, and the number of trials (n).
The probability of getting exactly k successful outcomes in n trials is given by the binomial probability formula. P(x) = (n choose x) * (p^x) * ((1-p)^(n-x))

It is also a discrete probability distribution, and is used to model the number of successes in a fixed number of Bernoulli trials with a fixed probability of success.

How to Calculate Mean of Binomial Distribution?

Mean of Binomial Distribution calculator uses Mean in Normal Distribution = Number of Trials*Probability of Success to calculate the Mean in Normal Distribution, Mean of Binomial Distribution formula is defined as the long-run arithmetic average of individual values of the random variable that follows Binomial distribution. Mean in Normal Distribution is denoted by μ symbol.

How to calculate Mean of Binomial Distribution using this online calculator? To use this online calculator for Mean of Binomial Distribution, enter Number of Trials (N_Trials) & Probability of Success (p) and hit the calculate button. Here is how the Mean of Binomial Distribution calculation can be explained with given input values -> 6 = 10*0.6.

FAQ

What is Mean of Binomial Distribution?

Mean of Binomial Distribution formula is defined as the long-run arithmetic average of individual values of the random variable that follows Binomial distribution and is represented as μ = N_Trials*p or Mean in Normal Distribution = Number of Trials*Probability of Success. Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances & 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 Binomial Distribution?

Mean of Binomial Distribution formula is defined as the long-run arithmetic average of individual values of the random variable that follows Binomial distribution is calculated using Mean in Normal Distribution = Number of Trials*Probability of Success. To calculate Mean of Binomial Distribution, you need Number of Trials (N_Trials) & Probability of Success (p). With our tool, you need to enter the respective value for Number of Trials & 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 Number of Trials & Probability of Success. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean in Normal Distribution = (Number of Success*Probability of Failure in Binomial Distribution)/Probability of Success

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