The random variable X has a PDF of the form

fX⁡(x)= 1/x^2,for x≥1,
0,otherwise.

Let Y=X2. For y≥1, the PDF of Y it takes the form fY⁡(y)=a / y^b. Find the values of a and b.

1 answer

a = 1/2 and b = 3