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

 Let f(x)= { 3x^2/8 0 Solutionf(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)

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