The distribution of crests associated with a lightly coupled bimodal vibrating system under band‐limited white‐noise excitation has been calculated and measured. Measured crests of the strain response of a mass‐loaded cantilever beam, used as the bimodal system, follow the expected Rayleigh distribution to within experimental accuracy. Noteworthy is the result that crests of four times the rms strain are obtained using a bimodal configuration, and crests of five times the rms strain are obtained when the beam is vibrating in a unimodal configuration.