Let X∼Uniform(a,b)X \sim \text{Uniform}(a, b)X∼Uniform(a,b). What is the variance?
(b−a)212\frac{(b-a)^2}{12}12(b−a)2
b−a12\frac{b-a}{12}12b−a
(b−a)2\frac{(b-a)}{2}2(b−a)
(a+b)24\frac{(a+b)^2}{4}4(a+b)2