let-X-1-and-X-2-be-independent-random-variable-of-uniform-distribution-If-it-is-known-that-X-i-uniform-0-1-and-let-S-X-1-X-2-Determine-the-Probability-density-function-from-S-

Question Number 145678 by syamilkamil1 last updated on 07/Jul/21

l e t X_{1} a n d X_{2} b e i n d e p e n d e n t r a n d o m v a r i a b l e

o f u n i f o r m d i s t r i b u t i o n . I f i t i s k n o w n t h a t

X_{i} \sim u n i f o r m (0, 1) a n d l e t S = X_{1} + X_{2}

D e t e r m i n e t h e P r o b a b i l i t y d e n s i t y f u n c t i o n

f r o m S!