Highest Shannon entropy U(0,1)\mathcal{U}(0, 1)U(0,1)In computing, every distribution starts from Random number generation and is the most useful in real life since it is the simplest one.Probability Density Function with Indicator function f(x)=1b−a1[a,b](x)f(x) = \frac{1}{b-a} \mathbf{1}_{[a, b]}(x)f(x)=b−a11[a,b](x)Cumulative Distribution Function F(x)=x−ab−a1[a,b](x)+1(b,∞)(x). F(x) = \frac{x - a}{b - a} \mathbf{1}_{[a, b]}(x) + \mathbf{1}_{(b, \infty)}(x). F(x)=b−ax−a1[a,b](x)+1(b,∞)(x).