Mean of the Probability Distribution Calculator

Calculate the Expected Value of Your Distribution

Enter the values (x) and their corresponding probabilities P(x) for your distribution. The sum of all probabilities must equal 1.

Value (x) Probability P(x)

Calculation Results

The Mean (μ) or Expected Value E(X) of the Probability Distribution is:

Discover the mean of a probability distribution, also known as the expected value, using our user-friendly online calculator. This tool helps you quickly determine the long-run average outcome of a random variable, essential for statistical analysis and decision-making.

Formula:

The mean (expected value) of a discrete probability distribution is calculated as the sum of each outcome multiplied by its probability:
μ = E(X) = Σ [x × P(x)]
Where:
x = A specific outcome or value of the random variable
P(x) = The probability of that specific outcome x occurring

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