In this paper, we introduce a two component mixture of bimodal distribution given by K.S. Rao et al. (1988). The various distributional properties of this distribution are derived. The extreme order Statistics of this distributions are also obtained, this distribution much useful the approximating the random phenomena involved in several datasets arising at places like biological experiments, Chemical experiments, inventory control, reliability and lab testing etc. where the population under studies is heterogeneous .Some of the inferential aspects of this distributions is also study.