6.10 Repeat the problem above with three exponentially distributed random variables, i.e., Xi Exp(i), i = 1, 2, 3. As a note the distribution

6.10 Repeat the problem above with three exponentially distributed random variables, i.e., Xi ∼ Exp(λi), i = 1, 2, 3. As a note the distribution of a sum of n such independent exponentials is called the Erlang distribution and is heavily used in queuing theory.