UniformSumDistribution

UniformSumDistribution[n] represents the distribution of a sum of n random variables uniformly distributed from 0 to 1.

• UniformSumDistribution[n, {min, max}] represents the sum of n uniform random variables from min to max.

Also known as the Irwin-Hall distribution.

Examples

UniformSumDistribution[3]

Mean[UniformSumDistribution[10]]

Plot[PDF[UniformSumDistribution[5], x], {x, 0, 5}]

*See the official Wolfram Language Reference for more details.