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Let $X_1,X_2,...,X_n \sim U_{[0,1]}$.

$X_1,..,X_n$ are independent. Let us define : $Y=X_1+X_2+...+X_n$ How to find the PDF of $Y$?

PabloZ392
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    Here is the answer for $n=2$: https://math.stackexchange.com/questions/357672/density-of-sum-of-two-uniform-random-variables-0-1 – mlerma54 Dec 05 '18 at 17:09
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    This is known as the Irwin-Hall distribution: https://en.wikipedia.org/wiki/Irwin%E2%80%93Hall_distribution. – JimB Dec 05 '18 at 17:54

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