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7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...

7.5) 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


7.7) With reference to the two random variables of Exercise 7.5, show that if θ1 = θ2 = 1, the random variable Z1=X1/(X1 + X2) has the uniform density with α=0 and β=1.
                                     (I ONLY NEED TO ANSWER 7.7)

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