By pure probability, if we're the first intelligent species here on earth (that is able to build radio communicators) out of what, ~4 billion species that ever existed, what are the odds of us being the first in the entire universe?
My logic is that intelligence (as defined above) is clearly rare here on earth where life is prolific, hence by no means a certain development of evolution. I wouldn't be surprised if we're the first in the universe where the conditions are certainly less hospitable for life.
This game of probability doesn't only depend on the sample size, but also on what you're looking for. For instance, you can say that if you find a purple grain of sand, and you know there are trillions of other grains, then you'll be sure to find other purple grains. But what if the purple grain has written on it "hello how are you" by sheer chance. You'd probably never find another grain of sand with that same writing.
And then you can say, "us being the first is egocentric". Well, but we're the first (on earth) when it comes to building radio stations, so we clearly won that lottery big time. Is it such a stretch to say we won the lottery in the universe as well?