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1. A sum and a ratio Suppose X, Y are two independent Exp(1) random variables. a) Find the distribution of Z = X + Y
1. A sum and a ratio
Suppose X, Y are two independent Exp(1) random variables.
a) Find the distribution of Z = X + Y .
b) Find the distribution of W = XZ and specify its range.
Hint: Are X and Z independent?
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