For a random variable XXX with PDF f(x)=3x2f(x) = 3x^2f(x)=3x2 for x∈[0,1]x \in [0, 1]x∈[0,1], find the median mmm.
0.50.50.5
0.53\sqrt[3]{0.5}30.5
0.530.5^30.53
0.750.750.75