Continuous random variable Example.Pick a real number a and associate to it the numerical value a2. The random variable a2 is continuous,not discrete. We'll talk about continuous random variables later. The following random variable is discrete: 1 a>0 a=0. a<0Continuous random variable Example. Pick a real number 𝑎 and associate to it the numerical value 𝑎 2 . The random variable 𝑎 2 is continuous, not discrete. We’ll talk about continuous random variables later. The following random variable is discrete: 𝑠𝑖𝑔𝑛 𝑎 = ቐ 1 𝑎 > 0 0 𝑎 = 0 −1 𝑎 < 0