Asked by Anon

Suppose that X is a continuous random variable and that Y=X^4. Then, for y≥0 we have

fY(y)=ay^bfX(−cy^d)+ay^bfX(cy^d),

for some a, b, d, and some c>0. Find a, b, c, and d.
Answered by Sanchez
a=1/4
b=-3/4
c=1
d=1/4