Let X and Y be two independent random variables, whosemarginal pdfs are given be

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Let X and Y be two independent random variables, whosemarginal pdfs are given below. Find the pdf of W=X+Y. Hint: Consider 2 cases, 0<w<1 and 1<w<2. fx(x)=1 , 0<x<1 fY(y)=1, 0<y<1 **I have a Theorem that states: Let X and Y be be twoindependent random variables with densities fx(x) andfY(y). Let W=X+Y, thenfW(w)=Integral(-infinity, infinity)[fx(x) fY(w-x)dx ] Let X and Y be two independent random variables, whosemarginal pdfs are given below. Find the pdf of W=X+Y. Hint: Consider 2 cases, 0<w<1 and 1<w<2. fx(x)=1 , 0<x<1 fY(y)=1, 0<y<1 **I have a Theorem that states: Let X and Y be be twoindependent random variables with densities fx(x) andfY(y). Let W=X+Y, thenfW(w)=Integral(-infinity, infinity)[fx(x) fY(w-x)dx ]

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