Suppose x sim explambda and y sim expmicro are independent


Suppose X ∼ Exp(λ) and Y ∼ Exp(µ) are independent. Assume that λ 6= µ.

a). Let T = X + Y . Find fT (t) by using a convolution formula.

b). Let W = Y/X. Find fW (w).

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Mathematics: Suppose x sim explambda and y sim expmicro are independent
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