Any redio transmission is likely to be highly diluted by the time it got here. And even if the transmitting antenna was arranged for as tight a beam as possible, it would still have spread out a lot.
One has to assume that any transmission sent out would be sort of random. I.e no particular target in mind.
Yes and to have the best chance of receiving it we would have to be looking in the right direction in the right time frame for the sending civilization.
The universe is about 46.5 billion light years across.
Lets imagine a listening in civilizations in the center of the universe so that makes them 23 billion light years from the edge of the universe.
So a civilization that has been transmitting radio for 1000 years has a packet of radio 1000 light years across barrelling out through space. If that civilization dies out for some reason then that 1000 light year window stops transmitting. All we have to watch out for is a packet of radio 1000 light years across between here and the edge of the universe.
1000ly / 23 billion light years is 4.3x10 -8
0.00000043th of the universe.
That's if that 1000 light year packet of radio hits us while we are listening.
And that we have our antennas pointing in the right direction.
Seti was founded in 1984 so it is about 36 years old.
In its early days it was very humble, but lets be generous and say it has had todays capabilities since its creation.
So we have been listening for 36 years, to find a radio signal from an arguably random direction, that may or may not be bigger than 1000 years across, that may or may not have left sometime in the last 23 billion years?
That has dissipated an unknown amount, on an unknown but guessed frequency from a civilization with assumed technology.
And people ask, why have we not heard ET yet :)
I am hopeful, but would be surprised if SETI ever hears anything.
But you wont here without listening so go SETI.