We define and study a new continuous distribution called the exponentiated Weibull Burr XII. Its density
function can be expressed as a linear mixture of Burr XII. Its hazard rate is very flexibile in accomodating
various shapes including constant, decreasing, increasing, J-shape, unimodal or bathtub shapes. Various of
its structural properties are investigated including explicit expressions for the ordinary and incomplete
moments, generating function, mean residual life, mean inactivity time and order statistics. We adopted the
maximum likelihood method for estimating the model parameters. The flexibility of the new family is
illustrated by means of a real data application.