plz help assignment due 4 3 Let X have PDF fx3x2 for 0x2 Let

plz help assignment due!!

[4] 3. Let X have PDF f(x)-3x2 for 0-x-2. Let Y = X4. Calculate the PDF of Y.

Solution

Y=X⁴

and X=f(x)=3x² for 0<=x=2

so pdf for Y=(3x²)⁴ for 0<=x=2

i.e. Y = 81*x⁸  for 0<=x=2