一様分布

\(\normalsize Uniform\ distribution\\ (1)\ probability\ density\\ \hspace{30px}f(x,a,b)=\left\{ {\large{\frac{1}{b-a}\hspace{20px}a\le x\le b\atop 0\hspace{35px}x\lt a,\ b\lt x}}\right.\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,a,b)={\large\int_{\small a}^{\small x}}f(t,a,b)dt={\large\frac{x-a}{b-a}}\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,a,b)={\large\int_{\small x}^{\small b}}f(t,a,b)dt={\large\frac{b-x}{b-a}}\\\)