An organization uses normalized scores for approving or rejecting promotion of employees. Note there are two populations of applicants 'blue' $($with protected attribute A$=0)$ and 'red' $($with protected attribute A$=1).$ Promotion is approved, i$.$e y$\text{'}=1$ if normalized score is greater than some threshold t$,$ else rejected. Note that y $=1($solid color line$)$ indicates that an employee gets promotion successfully and timely and y$=0($dotted color line$)$ indicates an employee gets rejected for promotion.

Distributions are described in following figure for both populations.