Let XXX have PDF f(x)=2xf(x) = 2xf(x)=2x for 0≤x≤10 \leq x \leq 10≤x≤1. What is the median mmm such that P(X≤m)=0.5P(X \leq m) = 0.5P(X≤m)=0.5?
0.5\sqrt{0.5}0.5
0.50.50.5
0.250.250.25
1/21/\sqrt{2}1/2