Question: If X1 and X2 are independent random variables having exponential densities with the parameters 1 and 2, use the distribution function technique to find the

If X1 and X2 are independent random variables having exponential densities with the parameters θ1 and θ2, use the distribution function technique to find the probability density of Y = X1 + X2 when
(a) θ1 ≠ θ2;
(b) θ1 = θ2.
(Example 7.3 is a special case of this with θ1 = 1/3 and θ2 = 1/2 .)

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