  We investigate Gaussian warped five-dimensional thick braneworlds.
Identification of the graviton's wave function (squared) in the extra-dimension
with a probability distribution function leads to a straightforward
probabilistic interpretation of braneworlds. The extra-coordinate $y$ is
regarded as a Gaussian-distributed random variable. Hence, all of the field
variables and operators which depend on $y$ are, also, randomly distributed.
Four-dimensional measurable (macroscopic) quantities are identified with the
corresponding averaged values over the Gaussian distribution. The present
scenario represents a new phenomenological approach to smooth thick branes
which can not be obtained through 'smearing out' Randall-Sundrum-like (thin)
braneworlds.
