Solved: Suppose that X and Y are independent continuous

Chapter , Problem 16

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Suppose that X and Y are independent continuous random variables. Show that (a) P{X + Y a} = _ FX (a y) fY ( y) dy (b) P{X Y} = _ FX ( y) fY ( y) dy where fY is the density function of Y , and FX is the distribution function of X.

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