A continuous random variable XXX has PDF f(x)=6x(1−x)f(x) = 6x(1-x)f(x)=6x(1−x) for 0≤x≤10 \le x \le 10≤x≤1. What is E[X]E[X]E[X]?
12\frac{1}{2}21
13\frac{1}{3}31
23\frac{2}{3}32
34\frac{3}{4}43