The discussion revolves around finding the probability density function (PDF) of the sum of three continuous uniform random variables, specifically X1, X2, and X3, each uniformly distributed over the interval [0, 1]. The original poster attempts to derive the PDF of Z = X1 + X2 + X3 but expresses difficulty in reaching the solution.
Some participants have provided guidance on breaking down the problem into simpler components, indicating a possible direction for the original poster. However, there is no explicit consensus on the best approach, and multiple interpretations of the problem are being explored.
The original poster references an external source for the answer but struggles to understand the derivation, indicating a potential gap in foundational knowledge or assumptions about the problem setup.
lanedance said:start with an easier problem first
Y = X1 & X2
it you're still getting no where, try looking up convolutions