In this study we have analyzed the correlations between the GDP reported on every inhabitant and the life expectancy respective the infantile mortality rates. Analysis cover 11 countries, divided in four categories: three former countries members of EU (France, Italy, Sweden), three countries recently admitted (2004) in E.U. (Poland, Slovenia, Hungary), two countries which will join E.U. in 2007 and other three countries none located in Europe (Canada, Japan, USA). In the countries that invest a lot in health care system the life expectancy at birth is bigger that in other countries, but this relation is not a linear one. Infantile mortality in modern society is strongly influenced by the socio-economic status.