Let fx 3x28 0 Solutionfx 3x28 0
Let f(x)= { 3x^2/8 0
Solution
f(x) = 3x^2/8, 0<x<2
Let us find cumulative distribution for x as
F(x) =
When W = x^3, Cumulative distribution of F(W)
F(W) = W/8, 0<W<8
Pdf of W is
f(w) = 1/8, 0<w<8
This happens to be a uniform distribution with variance as
Here b =8 and a =0
Hence var(w) = 64/12 = 5.33
