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**Questions** Hi, i need some help on my homework which is due tml. Here goes:

Let X1,...,Xn be i.i.d. U(0,$\displaystyle \theta$) random variables. Let Yn be the maximum of X1,...,Xn.

Yn = max {X1, ... ,Xn}.

a) Determine a sequence $\displaystyle {k_{n}}$ of constants, $\displaystyle k_{n} \uparrow + \infty$ as n $\displaystyle \uparrow + \infty $, such that $\displaystyle lim_{(n \rightarrow + \infty )} P(k_{n} (\theta - Y_{n} \leq x) = G(x) $; the limit of G is a continuous distribution function you have to determine.

b)