Let XXX and YYY be i.i.d. random variables with the PDF f(t)=3t2f(t) = 3t^2f(t)=3t2 for 0≤t≤10 \le t \le 10≤t≤1. If Z=max(X,Y)Z = \max(X, Y)Z=max(X,Y), what is E[Z]E[Z]E[Z]?
12\frac{1}{2}21
34\frac{3}{4}43
910\frac{9}{10}109
14\frac{1}{4}41