Expected Value Calculator

Calculate the expected value (mean) of a random variable based on its probability distribution.

Variable Type

Select Random Variable Type

Probability Distribution

For a discrete random variable, the expected value is calculated as:

E[X] = \sum_{i} x_i \cdot P(X = x_i)

Where:

The variance is calculated as:

Var(X) = E[X^2] - (E[X])^2

E[X^2] = \sum_{i} x_i^2 \cdot P(X = x_i)

The standard deviation is the square root of the variance:

\sigma_X = \sqrt{Var(X)}

Calculate probabilities for various scenarios.

Generate random numbers from various distributions.

Calculate factorials with explanations.