Find the mean of the given probability distribution calculator

Probability of Success is the ratio of success cases over all outcomes.Probability of Success [p]

+10%

-10%

The number of trials is the number of times a certain probabilistic event is tried out multiple times.Number of trials [n]

+10%

-10%

Mean of distribution is the long-run arithmetic average value of a random variable having that distribution.Mean of binomial distribution [μ]

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Mean of binomial distribution Solution

STEP 0: Pre-Calculation Summary

STEP 1: Convert Input(s) to Base Unit

Probability of Success: 0.75 --> No Conversion Required
Number of trials: 5 --> No Conversion Required

STEP 2: Evaluate Formula

STEP 3: Convert Result to Output's Unit

3.75 --> No Conversion Required

Credits

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

St Joseph's College (SJC), Bengaluru

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6 Binomial distribution Calculators

Mean of binomial distribution Formula

Mean of distribution = Probability of Success*Number of trials
μ = p*n

What is statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.

How to Calculate Mean of binomial distribution?

Mean of binomial distribution calculator uses Mean of distribution = Probability of Success*Number of trials to calculate the Mean of distribution, The mean of binomial distribution formula is defined by the formula m = P * n. where P is the probability of success and n is the number of trials. Mean of 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 Probability of Success (p) & Number of trials (n) and hit the calculate button. Here is how the Mean of binomial distribution calculation can be explained with given input values -> 3.75 = 0.75*5.

FAQ

What is Mean of binomial distribution?

The mean of binomial distribution formula is defined by the formula m = P * n. where P is the probability of success and n is the number of trials and is represented as μ = p*n or Mean of distribution = Probability of Success*Number of trials. Probability of Success is the ratio of success cases over all outcomes & The number of trials is the number of times a certain probabilistic event is tried out multiple times.

How to calculate Mean of binomial distribution?

The mean of binomial distribution formula is defined by the formula m = P * n. where P is the probability of success and n is the number of trials is calculated using Mean of distribution = Probability of Success*Number of trials. To calculate Mean of binomial distribution, you need Probability of Success (p) & Number of trials (n). With our tool, you need to enter the respective value for Probability of Success & Number of trials 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 of distribution?

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

  • Mean of distribution = (Number of success*Probability of Failure)/Probability of Success

What is the average or mean of the given probability distribution?

In a probability distribution , the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value , usually represented by E(x) .

What is the mean given distribution?

The mean, often called the average, of a numerical set of data, is simply the sum of the data values divided by the number of values. This is also referred to as the arithmetic mean. The mean is the balance point of a distribution.

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