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**1. Homework Statement**

show that [(n+1)X(n)/n]

^{2}is not an unbiased estimate of theta

^{2}in unform distribution U[0,theta]

X(n) is the order statistic

**The attempt at a solution**

I was going to take E{[(n+1)X(n)/n]

^{2}} split it as

E[((n+1)/2)

^{2}] * E[X(n)

^{2}] and then show that it does not equal to theta

^{2}.

Could some one please confirm if this is correct? or help me out with the direction?