Median Based Unit Weibull (MBUW): a new unit distribution Properties

A new 2 parameter unit Weibull distribution is defined on the unit interval (0,1). The methodology of deducing its PDF, some of its properties and related functions are discussed. The paper is supplied by many figures illustrating the new distribution and how this can make it illegible to fit a wide range of skewed data. The new distribution holds a name (Attia) as a nickname.
Comment: arXiv admin note: text overlap with arXiv:2410.04132 , this a new update as the new update contains real data anlysis ( 6 data sets ) to illustrate the benefit of the distribution