Let XXX be a continuous random variable with PDF f(x)=2xf(x) = 2xf(x)=2x for 0≤x≤10 \le x \le 10≤x≤1. If Y=X3Y = X^3Y=X3, what is E[Y]E[Y]E[Y]?
1/21/21/2
1/31/31/3
2/52/52/5
1/41/41/4