There are many systems that can handle a mix of series-parallel or parallel-series systems. Here, a new three-parameter
distribution motivated mainly by dealing with series-parallel or parallel-series systems is introduced. Moments, conditional moments, mean deviations, moment generating function, quantile, Lorenz, and Bonferroni curves of the new distribution including
are presented. Entropy measures are given and estimation of its parameters is studied. Two real data applications are described
to show its superior performance versus some known lifetime models.