What is a character of distribution of the sum of two random numbers in the range $(0, 1)$? I guess that it should be uniform. But in case of specific example it's not.
[Math] Sum of two random numbers
normal distributionprobabilityprobability distributionsrandomuniform distribution
Best Answer
The probability distribution of a sum of independent random variables is the convolution of the probability distribution of those random variables.
See https://en.wikipedia.org/wiki/Convolution_of_probability_distributions.
If you apply that principle, you will get an answer to your question.