The probability distribution calculator is designed to determine the mean, standard deviation, and variance of a distribution.

- First, enter the probabilities and values of a distribution. You can input up to 10 outcome values.
- Make sure the probabilities must add up to 1.
- After entering all the required values, press the 'Calculate' button.
- Finally, the tool returns the mean, standard deviation, and variance results associated with the probability distribution.

To find the mean, variance, and standard deviation, use the following formulas:

Mean (μ) = ∑ ( k · P(x) )

Variance (σ^{2}) = ∑ ( k^{2} · P(x) ) - μ^{2}

Standard Deviation (σ) = | √σ^{2} |

Where,**k** = Outcome Value,**P(x)** = Probability of Outcome.