Little's Law is not directly applicable here. LL tells us the average wait time given the arrival rate and average size of the queue. Only one of those three th

Little's Law is not directly applicable here. LL tells us the average wait time given the arrival rate and average size of the queue. Only one of those three things are known, and the distribution is relevant for calculating a second (letting us use LL to find the third). There's a really obvious counterexample to "the distribution doesn't matter": with a uniform distribution, the average wait time will be zero.