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4. Let X1, X2.....X. be iid ([0, 1] RVs. Prove by induction or otherwise that S, = ELI Xx has the PDF A(x) = [(0-1)1]-(-1)

4. Let X1, X2.....X. be iid ([0, 1] RVs. Prove by induction or otherwise that S, = ELI Xx has the PDF A(x) = [(0-1)1]-(-1) [e(x - 4) ]"-'(x- 2) "-1 &=0 where s(x) = 1 if x20, = 0ifx

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