I would say that it is statistically improbable that life does not exist in any other part of the universe. Personally I calculated the probabilities to 10 ^ (10 ^ -18). That is, a decimal point followed by a quintillion of zeros followed by a 1. Granted, that number is for the life of * any * type, but the chances that the Earth has the only technological life in the universe are not * tan * ridiculously remote, but still at a distance.
I have my own solution to Fermi's Paradox.