Let XXX have PDF f(x)=2xf(x) = 2xf(x)=2x for x∈[0,1]x \in [0, 1]x∈[0,1]. Find P(X2<0.5)P(X^2 < 0.5)P(X2<0.5).
0.5
0.25
0.5\sqrt{0.5}0.5
0.707