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In this this paper the stochastic background of gravitational waves (SBGWs)is analyzed with the auxilium of the WMAP data. We emphasize that, in general,in previous works in the literature about the SBGWs, old COBE data were used.After this, we want to face the problem of how the SBGWs and f(R) gravity canbe related, showing, vice versa, that a revealed SBGWs could be a powerly probefor a given theory of gravity. In this way, it will also be shown that theconformal treatment of SBGWs can be used to parametrize in a natural way f(R)theories.

Tuning the stochastic background of gravitational waves with theory and observations