A continuous random variable has PDF f(x)=38(1−x2)f(x) = \frac{3}{8}(1-x^2)f(x)=83(1−x2) for −1≤x≤1-1 \le x \le 1−1≤x≤1. What is E[X]E[X]E[X]?
-1
0
1/3
1/2