Question: Suppose (i) (ii) (iii) X, has a pdf f(x) = - X has a pdf f(x)= xe-x/2 16 0 x 2 e-x/12 Examine whether

$(i) ( X_{1} ) has a pdf ( f_{1}left(x_{1}right)=left{begin{array}{cll}frac{x_{1}^{2} e^{-x_{1}^{2} / 2}}{16} & ; & 0$

Suppose (i) (ii) (iii) X, has a pdf f(x) = - X has a pdf f(x)= xe-x/2 16 0 x 2 e-x/12 Examine whether Y = X + X and Y 4 0 X, and X are independent. ; 0

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