Let XXX be a random variable with PDF f(x)=kx3f(x) = kx^3f(x)=kx3 for x∈[0,2]x \in [0, 2]x∈[0,2]. Find the constant kkk.
1/21/21/2
1/41/41/4
1/81/81/8
1/161/161/16