# Question

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 .)

(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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