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In an auction with three bidders ie(1,2,3) and private valuations XIE[0,1] these valuations are distributed independently of each other according to distribution functions F(x)=x^2

 

In an auction with three bidders ie(1,2,3) and private valuations XIE[0,1] these valuations are distributed independently of each other according to distribution functions F(x)=x^2 What is the density function G(x) in this case? (It is known that if F(x) = x then G(x)=x^ (N-1) with N is the number of bidders)

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