The random variable $$\(X\)$$ has the discrete uniform distribution $$\[ \mathrm{P}(X=x)=\frac{1}{\alpha} \quad \text { for } x=1,2, \ldots, \alpha \]$$ The mean of a random sample of size $$\(n\)$$, taken from this distribution, is denoted by $$\(\bar{X}\)$$ Show that $$\(2 \bar{X}\)$$ is a biased estimator of $$\(\alpha\)$$ (2) A random sample of 6 observations of $$\(X\)$$ is taken and the results are given below.

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