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Calculus and Beyond Homework Help
Finding the PDF of the Sum of Two Random Variables: Uniform Distribution
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[QUOTE="Ray Vickson, post: 4640942, member: 330118"] It is straigtforward to get a solution to the general case here by using Laplace transforms, provided that you allow negative values, if necessary; that is, regard the Laplace transform as being ##\int_{-\infty}^{\infty} e^{-sx} f(x) \, dx## for functions that are zero for ##x < -M## for some finite ##M > 0##. Alternatively, assume your e,f,g,h are all ≥ 0 by shifting everything to the right if need be. You can re-write the LT of the sum as a sum of four easily-inverted LTs, resulting in things involving Heaviside functions; these will take care of all the possible "cases". [/QUOTE]
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Calculus and Beyond Homework Help
Finding the PDF of the Sum of Two Random Variables: Uniform Distribution
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