Question

Let x1 and x2 be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then y = min (x1, x2) is

Answer 1

Let X and Y be two exponentially distributed and independent random variables with mean α and β, respectively. If Z = min (X,Y), then the mean of Z is given by

(1α+β)

min(α,β)

(αβα+β)