Given the random variable x with probability distribution f(x) = 2x, 0 a) f(y) = 16x², 0 < y < 1, 0
b) f(y) = 8x³, 0 < y < 1, 0
c) f(y) = 4x⁴, 0 < y < 1, 0
d) f(y) = 2x⁵, 0 < y < 1, 0